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Popular >

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

Solution

x^{2} \frac{d y}{d x} = y

Solution

y = e^{- \frac{1}{x} + c_{1}}

Solution steps

x^{2} \frac{d y}{d x} = y

Solve separable ODE:

y = e^{- \frac{1}{x} + c_{1}}

y = e^{- \frac{1}{x} + c_{1}}

Popular Examples

tangent of f(x)=12sqrt(x),\at x=9 tangent of

f (x) = 12 x, at x = 9

(t^2+4)y^'+2ty=t^2(t^2+4)

(t^{2} + 4) y^{^{'}} + 2 t y = t^{2} (t^{2} + 4)

tangent of y=x^2+3,(4,19)tangent of

y = x^{2} + 3, (4, 19)

integral of (2x^2+x-1)/(x(x^2+1))

\int \frac{2 x ^{2} + x - 1}{x ( x ^{2} + 1 )} d x

d/(dy)((2x^2-xy+2y^2)/(x-y))

\frac{d}{d y} (\frac{2 x ^{2} - x y + 2 y ^{2}}{x - y})

Frequently Asked Questions (FAQ)

What is the solution for x^2(dy)/(dx)=y ?
The solution for x^2(dy)/(dx)=y is y=e^{-1/x+c_{1}}