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Beliebt Rechnen >

2yy^'-xy^'=y-2x

Lösung

2 y y^{^{'}} - x y^{^{'}} = y - 2 x

Lösung

y = \frac{x + - 3 x ^{2} + c _{1}}{2}, y = \frac{x - - 3 x ^{2} + c _{1}}{2}

Schritte zur Lösung

2 y y^{'} (x) - x y^{'} (x) = y - 2 x

Solve exact ODE:

y = \frac{x + - 3 x ^{2} + c _{1}}{2}, y = \frac{x - - 3 x ^{2} + c _{1}}{2}

y = \frac{x + - 3 x ^{2} + c _{1}}{2}, y = \frac{x - - 3 x ^{2} + c _{1}}{2}

Graph

Beliebte Beispiele

integral of (2ysin(x)-x^3+ln(y))

\int (2 y sin (x) - x^{3} + ln (y)) d y

y^{''}-9y^'=81t

y^{^{''}} - 9 y^{^{'}} = 81 t

derivative of (arccos(x)/x)

\frac{d}{d x} (\frac{arccos ( x )}{x})

derivative of tan(x+1/(x^2))

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

integral of 4-x

\int 4 - x d x