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Beliebt Rechnen >

y^'=(xy+2y)/(x+3)

Lösung

y^{^{'}} = \frac{x y + 2 y}{x + 3}

Lösung

y = \frac{e ^{x + c_{1}}}{x + 3}

Schritte zur Lösung

y^{'} (x) = \frac{x y + 2 y}{x + 3}

Solve separable ODE:

y = \frac{e ^{x + c_{1}}}{x + 3}

y = \frac{e ^{x + c_{1}}}{x + 3}

Graph

Beliebte Beispiele

x(x^3+1)y^'+(2x^3-1)y=(x^3-2)/x

x (x^{3} + 1) y^{^{'}} + (2 x^{3} - 1) y = \frac{x ^{3} - 2}{x}

integral of sqrt(x^2-49)

\int x^{2} - 49 d x

y^{''}+2y^'+2=0

y^{^{''}} + 2 y^{^{'}} + 2 = 0

integral of 5sin(6pi)x

\int 5 sin (6 π) x d x

integral of 6e^{-0.2x}

\int 6 e^{- 0.2 x} d x