A curve passing through `(2,3)` and satisfying the differential equation `int_0^x ty(t)dt=x^2y(x),(x >0)` is

If int_a^x ty(t)dt=x^2+y(x), then find y(x)

The curve passing through the point (1,1) satisfies the differential equation (dy)/(dx)+(sqrt((x^2-1)(y^2-1)))/(x y)=0 . If the curve passes through the point (sqrt(2),k), then the value of [k] is (where [.] represents greatest integer function)_____

The graph of the function y = f(x) passing through the point (0, 1) and satisfying the differential equation (dy)/(dx) + y cos x = cos x is such that

If a curve y=f(x) passes through the point (1,-1) and satisfies the differential equation ,y(1+x y)dx""=x""dy , then f(-1/2) is equal to: (1) -2/5 (2) -4/5 (3) 2/5 (4) 4/5

Find the equation of the curve passing through the point (1,1) whose differential equation is x dy = (2x^(2) + 1) dx(x ne 0) .

Find the equation of a curve passing through the point (0,0) and whose differential equation is y'=e^(x)sinx.

The solution of differential equation (2y+x y^3)dx+(x+x^2y^2)dy=0 is

Find the equation of the curve passing through the point (1,-1) whose differential equation is xdy=(2x^(2)-1)dx, where xne0 .

Find the equation of a curve passing through the point (0,0) and whose differential equation is y' = e^(x) sin x .

If y(x) satisfies the differential equation y^(prime)-ytanx=2xs e c x and y(0)=0 , then