Home
Class 12
MATHS
Particular solution of differential equa...

Particular solution of differential equation `e^((dy)/(dx))=x,y(1)=3,xgt0 ` is

A

`y=xlogx-x+4`

B

`y^(2)=logx+4`

C

`logy=x^(2)+4`

D

`2y=x^(2)+5`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the particular solution of the differential equation (dy)/(dx) = - 4xy^(2) given that y = 1, when x = 0.

Find the particular solution of the differential equations log ((dy)/(dx)) = 3x + 4y given that y = 0 when x = 0.

Find a particular solution of the differential equation (x + 1)(dy)/(dx) = 2e^(-y) - 1 , given that y = 0 when x = 0.

Find the particular solution of the differential equation (dy)/(dx) + y cot x = 2x + x^(2) cot x( x ne 0) given that y = 0 when x = (pi)/(2) .

Find a particular solution of the differential equation (dy)/(dx) + y cot x = 4x cosec x ( x ne 0) , given that y = 0 when x = (pi)/(2) .

The genral solution of the differential equation, x((dy)/(dx))=y.log((y)/(x)) is

Find a particular solution of the differential equation (x - y)(dx + dy) = dx - dy given that y = -1, when x = 0.(Hint : put x - y = t)

Solution of the differential equation (1+e^(x/y))dx + e^(x/y)(1-x/y)dy=0 is

Find the particular solution of the differential equation (1 + e^(2x))dy + (1 + y^(2))e^(x)dx = 0 , given that y = 1 when x = 0

The general solution of the differential equation (dy)/(dx) = e^(x + y) is