x(1-x^(2))dy+(2x^(2)y-y)dx=ax^(3)dx

y(1-x^(2))dy=x(1+y^(2))dx

(x-x^(3))(dy)/(dx)+(2x^(2)-1)y=ax^(3)

y(1+x^(2))dy=x(1+y^(2))dx

The solution of 3x(1-x^(2))y^(2)(dy)/(dx)+(2x^(2)-1)y^(3)=ax^(3) is

If y=cos (mcos ^(-1) x ),then (1-x^(2)) (d^(2)y)/(dx^(2) )-x( dy)/(dx)=

If y= e ^(mcos ^(-1)x) ,then (1-x^(2) ) (d^(2)y)/(dx^(2)) -x(dy)/(dx)=

If y=sin^(-1)x ,then prove that (1-x^(2))(d^(2)y)/(dx^(2))=x(dy/dx)

If y=sin (msin ^(-1) x),then (1-x^(2))(d^(2)y)/(dx^(2))-x( dy)/(dx)=

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)