`(dy)/(dx)+3x^(2)y=x^(5)e^(x^(3))`

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

(dy)/(dx)=x^3y^3-x y

Solve : (dy)/(dx)=e^(3x-2y)+x^(2)e^(-2y)

x(dy)/(dx)+y=y^(2)x^(3)cos x

Solve: (dy)/(dx)=1/(sin^4x+cos^4x) (ii) (dy)/(dx)=(3e^(2x)+3e^(4x))/(e^x+e^(-x))

The solution of the differential equation x=1+x y(dy)/(dx)+(x^2y^2)/(2!)((dy)/dx)^2+(x^3y^3)/(3!)((dy)/(dx))^3+... i s

solve the differential equation given by (dy)/(dx)=(-3x-2y+5)/(2x+3y+5)

The solution of differential equation x^2=1 +(x/y)^(-1)(dy)/(dx)+((x/y)^-2((dy)/(dx))^2)/(2!)+((x/y)^(-3)((dy)/(dx))^3)/(3!)+... i s

Solve (dy)/(dx)+ 3y = e^(-2x)

Find the order and degree of the following differential equations. i) (dy)/(dx)+y=1/((dy)/(dx)) , ii) e^(e^(3)y)/(dx^(3))-x(d^(2)y)/(dx^(2))+y=0 , iii) sin^(-1)(dy)/(dx)=x+y , iv) log_(e)(dy)/(dx)=ax+by v) y(d^(2)y)/(dx^(2))+x((dy)/(dx))^(2)-4y(dy)/(dx)=0