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Popular >

y^'=xy-y

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Popular Examples

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

\int \frac{2 x}{x ^{2} + 2} d x

derivative of f(x)= 3/4 x^8 derivative of

f (x) = \frac{3}{4} x^{8}

derivative of 3/(sin(2x))derivative of

\frac{3}{sin ( 2 x )}

2y^{''}+5y^'-3y=0,y(0)=3,y^'(0)=19

2 y^{^{''}} + 5 y^{^{'}} - 3 y = 0, y (0) = 3, y^{^{'}} (0) = 19

derivative of f(x)= 7/(8t^4)derivative of

f (x) = \frac{7}{8 t ^{4}}

Frequently Asked Questions (FAQ)

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