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

The solution of the differential equation (dy)/(dx)=(4x+y+1)^(2) , is

The solution of the differential equation (dy)/(dx)=(4x+y+1)^(2) , is

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

Solve the differential equations: (dy)/(dx)=(4x+y+1)^2

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

Find dy/dx if y^2=4x .

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

If (sin x)^2 =x+y find (dy)/(dx) Find (dy)/(dx) if y=sin^(-1)[2^(x+1)/(1+4^x)]

The solution of the differential equation log(dy/dx)=4x-2y-2,y=1 ,where x=1 is

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