" 1."(dy)/(dx)+2y=4x

Solve each of the following initial value problems: (dy)/(dx)+(2x)/(x^2+1)y=1/((x^2+1)^2),y(0)=0 (ii) (x^2+1)(dy)/(dx) -2x y=(x^4+2x^2+1)cosx ,y(0)=0

log""(dy)/(dx)=4x-2y-2, given y=1, when x=1

Solve: log (dy)/(dx) = 4x - 2y-2 : given y = 1, when x = 1.

The solution of (dy)/(dx) = (4x+9y+1)^(2) is

For each of the following differential equations verify that the accompanying functions a solution. Differential Function (a) x(dy)/(dx)=y, y=a x (b) x+y(dy)/(dx)=0, y=+-sqrt(a^2-x^2) (c) x(dy)/(dx)y=y^2, y=a/(x+a) (d) x^3(d^2y)/(dx^2)=1, y=a x+b+1/(2x) (e) y=((dy)/(dx))^2, y=1/4(x+-a)^2

Solve the following initial value problems : x(dy)/(dx)+2y=x^(2),y(1)=1/4

If y = sin^(-1) (3x -4x^(3)) " then " (dy)/(dx) = ?

Solve the following differential equations. 2(x-3y+1)(dy)/(dx)=4x-2y+1