हिंदी

Determine the order and degree of the following differential equations. (d2ydx2)2+(dydx)2=ax - Mathematics and Statistics

Advertisements
Advertisements

प्रश्न

Determine the order and degree of the following differential equations.

`((d^2y)/(dx^2))^2 + ((dy)/(dx))^2 =a^x `

योग

उत्तर

`((d^2y)/(dx^2))^2 + ((dy)/(dx))^2 =a^x `

By definition of order and degree,

Order : 2 ; Degree : 2

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 8: Differential Equation and Applications - Exercise 8.1 [पृष्ठ १६२]

APPEARS IN

बालभारती Mathematics and Statistics 1 (Commerce) [English] 12 Standard HSC Maharashtra State Board
अध्याय 8 Differential Equation and Applications
Exercise 8.1 | Q 1.2 | पृष्ठ १६२

संबंधित प्रश्न

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

y′ + y = ex


\[\frac{d^3 y}{d x^3} + \left( \frac{d^2 y}{d x^2} \right)^3 + \frac{dy}{dx} + 4y = \sin x\]

(xy2 + x) dx + (y − x2y) dy = 0


\[\sqrt{1 - y^2} dx + \sqrt{1 - x^2} dx = 0\]

\[y = px + \sqrt{a^2 p^2 + b^2},\text{ where p} = \frac{dy}{dx}\]

\[\frac{dy}{dx} + e^y = 0\]

Write the order and degree of the differential equation
\[\frac{d^2 y}{d x^2} + \left( \frac{dy}{dx} \right)^\frac{1}{4} + x^\frac{1}{5} = 0\]


If p and q are the order and degree of the differential equation \[y\frac{dy}{dx} + x^3 \frac{d^2 y}{d x^2} + xy\] = cos x, then


Write the order and degree of the differential equation `((d^4"y")/(d"x"^4))^2 =  [ "x" + ((d"y")/(d"x"))^2]^3`.


Find the order and the degree of the differential equation `x^2 (d^2y)/(dx^2) = { 1 + (dy/dx)^2}^4`


Determine the order and degree of the following differential equations.

`((d^3y)/dx^3)^(1/6) = 9`


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


State the degree of differential equation `"e"^((dy)/(dx)) + (dy)/(dx)` = x


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


The differential equation `x((d^2y)/dx^2)^3 + ((d^3y)/dx^3)^2y = x^2` 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 ______.


Determine the order and degree of the following differential equation:

`(d^2y)/(dx^2) + x((dy)/(dx)) + y` = 2 sin x


The degree of the differential equation `dy/dx - x = (y - x dy/dx)^-4` is ______.


Degree of the differential equation `sinx + cos(dy/dx)` = y2 is ______.


Find the order and degree of the differential equation `(1 + 3 dy/dx)^(2/3) = 4((d^3y)/(dx^3))`.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×