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Popular >

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

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Popular Examples

(dy)/(dx)=(y+1)/(x-1)

\frac{d y}{d x} = \frac{y + 1}{x - 1}

(dy)/(dt)=y^2e^{-t},y(0)= 1/2

\frac{d y}{d t} = y^{2} e^{- t}, y (0) = \frac{1}{2}

f^{^{'}} (x) = f (x)

y^{^{'}} = \frac{1 + x}{y}

sin(2x)dx+cos(9y)dy=0,y(pi/2)= pi/9

sin (2 x) d x + cos (9 y) d y = 0, y (\frac{π}{2}) = \frac{π}{9}

Frequently Asked Questions (FAQ)

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