Show that the differential equation of which `y=2(x^2-1)+c e^-x^2` is a solution, is `(dy)/(dx)+2x y=4x^3dot`

Solution of the differential equation (x-y)^2(dy/dx)=a^2 is

Solution of the differential equation dy/dx=(y^3)/(e^(2x)+y^2) , is

Solve the differential equation (dy)/(dx)=e^(2x-y)+x^(2)*e^(-y) .

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

For each of the following differential equations verify that the accompanying functions a solution. (i) x(dy)/(dx)=y => y=a x (ii) x+y(dy)/(dx)=0 => y=+-sqrt(a^2-x^2) (iii) x(dy)/(dx)y+y^2 => y=a/(x+a) (iv) x^3(d^2y)/(dx^2)=1 => y=a x+b+1/(2x) (v) y=((dy)/(dx))^2 => y=1/4(x+-a)^2

Which of the following differential equations has y = x as one of its particular solution? (A) (d^2y)/(dx^2)-x^2(dy)/(dx)+x y=x (B) (d^2y)/(dx^2)+x(dy)/(dx)+x y=x (C) (d^2y)/(dx^2)-x^2(dy)/(dx)+x y=0 (D) (d^2y)/(dx^2)+x(dy)/(dx)+x y=0

Find the solution f the differential equation (dy)/(dx)=x^3e^(-2y)dot

The solution of the differential equation is : x(dy)/(dx)+y=x^(2)+3x+2

The solution of the differential equation ((x+2y^3)dy)/(dx)=y is

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