English

If y = ae5x + 5e-5x then the differential equation is - Mathematics and Statistics

Advertisements
Advertisements

Question

If y = ae5x + be-5x then the differential equation is _________.

Options

  • `("d"^2"y")/"dx"^2 = 25"y"`

  • `("d"^2"y")/"dx"^2 = -25"y"`

  • `("d"^2"y")/"dx"^2 = -5"y"`

  • `("d"^2"y")/"dx"^2 = 5"y"`

MCQ

Solution

`("d"^2"y")/"dx"^2 = 25"y"`

shaalaa.com
Formation of Differential Equation by Eliminating Arbitary Constant
  Is there an error in this question or solution?
2018-2019 (February) Set 1

RELATED QUESTIONS

Form the differential equation by eliminating arbitrary constants from the relation `y=Ae^(5x)+Be^(-5x)`


Obtain the differential equation by eliminating the arbitrary constants from the following equation :

`y = c_1e^(2x) + c_2e^(-2x)`


Obtain the differential equation by eliminating arbitrary constants from the following equations.

y = Ae3x + Be−3x


Obtain the differential equations by eliminating arbitrary constants from the following equation.

`y = c_2 + c_1/x`


Obtain the differential equation by eliminating arbitrary constants from the following equations.

y = (c1 + c2 x) ex


Obtain the differential equations by eliminating arbitrary constants from the following equations.

y = c1e 3x + c2e 2x


Obtain the differential equation by eliminating arbitrary constants from the following equation.

y2 = (x + c)3


Find the differential equation by eliminating arbitrary constants from the relation x2 + y2 = 2ax


Form the differential equation by eliminating arbitrary constants from the relation

bx + ay = ab.


The differential equation by eliminating arbitrary constants from bx + ay = ab is __________.


Solve the differential equation:

Find the differential equation of family of curves y = ex (ax + bx2), where A and B are arbitrary constants.


State whether the following statement is True or False:

Number of arbitrary constant in the general solution of a differential equation is equal to order of D.E.


Find the differential equation by eliminating arbitrary constants from the relation y = (c1 + c2x)ex 


Obtain the differential equation by eliminating arbitrary constants from the following equation:

y = Ae3x + Be–3x


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×