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Popular >

x-y^'=xy

Solution

x - y^{^{'}} = x y

Solution

y = e^{- \frac{x ^{2}}{2} - c_{1}} + 1

Solution steps

x - y^{'} (x) = x y

Solve separable ODE:

y = e^{- \frac{x ^{2}}{2} - c_{1}} + 1

y = e^{- \frac{x ^{2}}{2} - c_{1}} + 1

Popular Examples

(dy)/(dx)=e^{x-y},y(0)=ln(3)

\frac{d y}{d x} = e^{x - y}, y (0) = ln (3)

15x^2y+3x^3y^'-24y=0,y(1)=1

15 x^{2} y + 3 x^{3} y^{^{'}} - 24 y = 0, y (1) = 1

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

\frac{d y}{d x} y sin (x^{2}) = x sin (y^{2})

y^{^{'}} = 2 y + 4

y^'= 1/2 y^3,y(1)=4

y^{^{'}} = \frac{1}{2} y^{3}, y (1) = 4

Frequently Asked Questions (FAQ)

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