Home
Class 12
MATHS
Write solution of dy/dx=2y,y(0)=2...

Write solution of `dy/dx=2y,y(0)=2`

Text Solution

Verified by Experts

`dy/dx=2yrArrintdy/y=2intdxrArr1ny=2x+C` Using the condition y(0)=2 we get 1n 2 = C `therefore` The required solution is In `y=2x+In2`
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    MBD PUBLICATION|Exercise QUESTION BANK|127 Videos

  • TRIGONOMETRIC FUNCTIONS

    MBD PUBLICATION|Exercise QUESTION BANK|267 Videos

Similar Questions

Explore conceptually related problems

Write solution of dy/dx=2/y,y(0)=0

Write the solution (d^2y)/dx^2=0,y(0) and y'(0) = 1.

Write the solution of (dy)/(dx)= 8x given y = 1 when x = 2.

Write solution dy/dx=(1)/(1+x^2),x=0,y=1

Find the solution of (d^2y)/(dx^2) =3x^2 + 1 given that y = 2 and (dy)/(dx) = 4 when x = 0.

Find the particular solution of d^2 y/dx^2 =2x ,given that x=0,y=2 and dy/dx =3 .

___is not a solution of (d^2y)/dx^2=1 .[dy/dx=5x,y=x^2/2,dy/dx=0]