हिंदी

Fill in the blank: Order and degree of a differential equation are always __________ integers. - Mathematics and Statistics

Advertisements
Advertisements

प्रश्न

Fill in the blank:

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

रिक्त स्थान भरें

उत्तर

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

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 8: Differential Equation and Applications - Miscellaneous Exercise 8 [पृष्ठ १७२]

APPEARS IN

बालभारती Mathematics and Statistics 1 (Commerce) [English] 12 Standard HSC Maharashtra State Board
अध्याय 8 Differential Equation and Applications
Miscellaneous Exercise 8 | Q 2.4 | पृष्ठ १७२

संबंधित प्रश्न

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

y″ + (y′)2 + 2y = 0


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

y″ + 2y′ + sin y = 0


\[2\frac{d^2 y}{d x^2} + 3\sqrt{1 - \left( \frac{dy}{dx} \right)^2 - y} = 0\]

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

Define degree of a differential equation.


The order of the differential equation \[2 x^2 \frac{d^2 y}{d x^2} - 3\frac{dy}{dx} + y = 0\], is


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

y"' + 2y" + y' = 0


Determine the order and degree of the following differential equation:

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


Determine the order and degree of the following differential equation:

`(("d"^2"y")/"dx"^2)^2 + cos ("dy"/"dx") = 0`


Choose the correct option from the given alternatives:

The order and degree of the differential equation `sqrt(1 + ("dy"/"dx")^2) = (("d"^2"y")/"dx"^2)^(3/2)` are respectively.


Determine the order and degree of the following differential equation:

`("d"^2"y")/"dx"^2 + 5 "dy"/"dx" + "y" = "x"^3`


Determine the order and degree of the following differential equation:

`(("d"^3"y")/"dx"^3)^2 = root(5)(1 + "dy"/"dx")`


State whether the following is True or False:

The order of highest derivative occurring in the differential equation is called degree of the differential equation.


Find the order and degree of the following differential equation:

`[ (d^3y)/dx^3 + x]^(3/2) = (d^2y)/dx^2`


The power of 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 of highest derivative occurring in the differential equation is called the degree of the differential equation


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


The degree of the differential equation `("dy"/"dx")^2 + (("d"^2y)/("d"x^2))^2` = 0 is ______.


Write the degree of the differential equation (y''')2 + 3(y") + 3xy' + 5y = 0


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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×