`(x+a)(dy)/(dx)-2y=(x+a)^(4)`

(dy)/(dx)-(2y)/(x)=y^(4)

x(dy)/(dx)+y=x^(2)y^(4)

x(dy)/(dx)+y=x^(2)y^(4)

(dy)/(dx)=(3x+y+4)^(2)

Solve : (dy)/(dx) - (2y)/(x) = y^(4)

Solve : (dy)/(dx) - (2y)/(x) = y^(4)

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

(dy)/(dx) = 4^(x+y)

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