Solve each of the following initial value problems ,y(1) = 1 A differential equation is shown: x(x^2 + 3y^2)dx + y(y^2 + 3x^2)dy = 0.

Q36 of 462 Page 23

Solve each of the following initial value problems
,y(1) = 1

Here, y(1) = 1

It is homogeneous equation

Put y = vx

And

So,

log () = log

() = …… (1)

Put value of v,

() = c

Put y = 1,x = 1

c = 8

put in eq. (1),

() = 8

Solve each of the following initial value problems

,y(1) = 2

Solve each of the following initial value problems

,y(2) = x