`dy/dx +y = 2x e^x`

The general solution of (dy)/(dx) = 2x e^(x^(2)-y) is

Assertion: Integrating factor of (dy )/(dx) + y = x^2 is e^x Reason: Integrating factor of ( dy )/(dx) + P( x) y= Q (x) is e^(int p(x) dx)

The solution of the differential equation x(dy)/(dx) = 2y + x^(3)e^(x), where y = 0 when x = 1 is

If x^(2) = e^(x-y) , then (dy)/(dx) at x = 1 is ……..

If (dy)/(dx)+y=2e^(2x) , then y is equal to

Find (dy)/(dx) of y=e^((x^(2))/(1+x^(2)))

Solve each of the following initial value problem: (dy)/(dx)+2y=e^(-2x)sin x,y(1)=0

If x^(3) dy + xy dx = x^(2) dy + 2y dx , y (2) = e and x gt 1 , then y(4) is equal to .

Solve: (dy)/(dx)+2y=e^(-x)