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Beliebt Rechnen >

y^'=xy-y

Lösung

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

Lösung

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

Schritte zur Lösung

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}}

Graph

Beliebte Beispiele

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

\int \frac{2 x}{x ^{2} + 2} d 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 f(x)= 7/(8t^4)

d er i v a t i v e f (x) = \frac{7}{8 t ^{4}}

tangent f(x)=2x^3-x^2+2,\at x=1

t an g e n t f (x) = 2 x^{3} - x^{2} + 2, at x = 1

derivative of ln(2-3x)

\frac{d}{d x} (ln (2 - 3 x))