हिंदी

State the degree of differential equation edydx+dydx = x - Mathematics and Statistics

Advertisements
Advertisements

प्रश्न

State the degree of differential equation edydx+dydx = x

योग

उत्तर

Since the given differential equation cannot be expressed as a polynomial in differential coefficients, the degree is not defined.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 2.6: Differential Equations - Answer the following

वीडियो ट्यूटोरियलVIEW ALL [3]

संबंधित प्रश्न

Write the degree of the differential equation x3(d2ydx2)2+x(dydx)4=0


Order and degree of the differential equation [1+(dydx)3]73=7d2ydx2 are respectively 

(A) 2, 3

(B) 3, 2

(C) 7, 2

(D) 3, 7


Determine the order and degree (if defined) of the differential equation:

d2y(dx2)2+cos(dydx)=0


Determine the order and degree (if defined) of the differential equation:

d2ydx2 = cos 3x + sin 3x


The order of the differential equation 2x2d2ydx2-3dydx+y=0 is ______.


For the differential equation given below, indicate its order and degree (if defined).

d2ydx2+5x(dydx)2-6y=logx


For the differential equation given below, indicate its order and degree (if defined).

(dydx)3-4(dydx)2+7y=sinx


For the differential equation given below, indicate its order and degree (if defined).

d4ydx4-sin(d3ydx3)=0


d3ydx3+(d2ydx2)3+dydx+4y=sinx

(xy2 + x) dx + (y − x2y) dy = 0


2d2ydx2+31(dydx)2y=0

y=xdydx+a1+(dydx)2

d2ydx2+3(dydx)2=x2log(d2ydx2)

d2ydx2+5x(dydx)6y=logx

dydx=(1+x2)(1+y2)

Write the degree of the differential equation
d2ydx2+x(dydx)2=2x2log(d2ydx2)


Write the order of the differential equation of the family of circles touching X-axis at the origin.


Write the order of the differential equation of all non-horizontal lines in a plane.


Write the order of the differential equation whose solution is y = a cos x + b sin x + c e−x.


Write the degree of the differential equation x (d2ydx2)3+y(dydx)4+x3=0

 


Write the degree of the differential equation x3(d2ydx2)2+x(dydx)4=0


Write the degree of the differential equation (d2ydx2)2+(dydx)2=xsin(dydx)


The degree of the differential equation d2ydx2+edydx=0


The order of the differential equation satisfying
1x4+1y4=a(x2y2) is


The degree of the differential equation (d2ydx2)3+(dydx)2+sin(dydx)+1=0, is


Determine the order and degree (if defined) of the following differential equation:-

(dsdt)4+3sd2sdt2=0


In the following verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation:-

y=1+x2                     y=xy1+x2


Determine the order and degree of the following differential equation:

d2ydx2+x(dydx) + y = 2 sin x


Determine the order and degree of the following differential equation:

1+(dydx)23=d2ydx2


Determine the order and degree of the following differential equation:

d2ydx2+(dydx)2+7x+5=0


Determine the order and degree of the following differential equation:

(y''')2 + 3y'' + 3xy' + 5y = 0


Determine the order and degree of the following differential equation:

(d2ydx2)2+cos(dydx)=0


Determine the order and degree of the following differential equation:

(d3ydx3)12-(dydx)13=20


Choose the correct option from the given alternatives:

The order and degree of the differential equation 1+(dydx)2=(d2ydx2)32 are respectively.


Determine the order and degree of the following differential equation:

d2ydx2+5dydx+y=x3


Determine the order and degree of the following differential equations.

d2xdt2+(dxdt)2+8=0


Determine the order and degree of the following differential equations.

(d2ydx2)2+(dydx)2=ax


Determine the order and degree of the following differential equations.

(y)2+2(y)2+6y+7y=0


Determine the order and degree of the following differential equations.

dydx=7d2ydx2


Choose the correct alternative.

The order and degree of [1+(dydx)3]23=8d3ydx3 are respectively.


Fill in the blank:

The power of the highest ordered derivative when all the derivatives are made free from negative and / or fractional indices if any is called __________ of the differential equation.


Order and degree of a differential equation are always positive integers.


State whether the following is True or False:

The power of the highest ordered derivative when all the derivatives are made free from negative and / or fractional indices if any is called order of the differential equation.


Find the order and degree of the following differential equation:

[d3ydx3+x]32=d2ydx2


The order and degree of (dydx)3-d3ydx3+yex = 0 are ______.


Order of highest derivative occurring in the differential equation is called the ______ of the differential equation


State whether the following statement is True or False: 

Order and degree of differential equation are always positive integers.


 Order of highest derivative occurring in the differential equation is called the degree of the differential equation


The degree of the differential equation d4ydx4+1+(dydx)4 = 0 is


The order of the differential equation of all circles whose radius is 4, is ______.


The differential equation x(d2ydx2)3+(d3ydx3)2y=x2 is of ______ 


The differential equation of the family of curves y = ex (A cos x + B sin x). Where A and B are arbitary constants is ______.


The order and degree of the differential equation d2ydx2+(d3ydx3)+x15=0 are respectively.


The order and degree of (n + 1n)d4ydx4=[n+(d2ydx2)4]3/5 are respectively.


The order of the differential equation whose general solution is given by y=C1e2x+C2+C3ex+C4sin(x+C5) is ______.


The order of the differential equation of all circles of radius r, having centre on X-axis and passing through the origin is ______.


The degree of the differential equation (1+dydx)3=(d2ydx2)2 is ______.


The order and degree of the differential equation [1+(dydx)2]2=d2ydx2 respectively, are ______.


The order of the differential equation of all circles of given radius a is ______.


Order of the differential equation representing the family of parabolas y2 = 4ax is ______.


The degree of the differential equation (dydx)2+(d2ydx2)2 = 0 is ______.


Order of the differential equation representing the family of ellipses having centre at origin and foci on x-axis is two.


The degree of the differential equation (d2ydx2)2+(dydx)2=xsin(dydx) is ______.


The degree of the differential equation [1+(dydx)2]32=d2ydx2 is ______.


The degree of the differential equation d2ydx2+(dydx)3+6y5 = 0 is ______.


The order and degree of the differential equation (d3ydx3)2-3d2ydx2+2(dydx)4 = y4 are ______.


The order and degree of the differential equation [1+(dydx)2]=d2ydx2 are ______.


The degree of differential equation (d2ydx2)3+(dydx)2+sin(dydx)+1 = 0 is:


The order and degree of the differential equation [1+(dydx)3]23=8(d3ydx3) are respectively ______.


If m and n, respectively, are the order and the degree of the differential equation ddx[(dydx)]4 = 0, then m + n = ______.


Determine the order and degree of the following differential equation:

d2ydx2+x(dydx)+y = 2 sin x


The differential equation representing the family of curves y2 = 2c(x+c), where c is a positive parameter, is of ______.


The order of the differential equation of all parabolas, whose latus rectum is 4a and axis parallel to the x-axis, is ______.


The order and degree of the differential eqµation whose general solution is given by d2ydx2+(dydx)50 = In (d2ydx2) respectively, are ______.


The order and degree of the differential equation dydx-4dydx-7x = 0 are ______.


Degree of the differential equation sinx+cos(dydx) = y2 is ______.


The sum of the order and the degree of the differential equation ddx[(dydx)3] is ______.


The order and the degree of the differential equation (1+3dydx)2=4d3ydx3 respectively are ______.


If (a+bx)eyx = x then prove that xd2ydx2=(aa+bx)2.


Find the order and degree of the differential equation

1+1(dydx)2=(d2ydx2)32


Find the order and degree of the differential equation (1+3dydx)23=4(d3ydx3).


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×
Our website is made possible by ad-free subscriptions or displaying online advertisements to our visitors.
If you don't like ads you can support us by buying an ad-free subscription or please consider supporting us by disabling your ad blocker. Thank you.