Given `y=y(x)`passing through (1,2) such that `xdy/dx +y = bx^4` then find b if `int_1^(2) f(x)dx=62/5`

solve xdy/dx-y=2x^2

If the graph of the function y = f(x) passes through the points (1, 2) and (3, 5), then int_(1)^(3)f'(x) dx=

If y=f(x) passing through (1,2) satisfies are differential equation y(1+xy)dx-x dy=0, then

If y=x sin y then prove that xdy/dx=(y)/(1-x cos y)

If the curve y=f(x) passing through the point (1,2) and satisfies the differential equation xdy+(y+x^(3)y^(2))dx=0 ,then

If y=sin(2sin^-1x) show that (1-x^2)(d^2y)/(dx^2)= xdy/dx-4y

x^2dy+(y-1/x)dx=0 at y(1)=1 then find the value of y(1/2)