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Beliebt Rechnen >

y^{''}-y^'=3x^2e^x

Lösung

y^{^{''}} - y^{^{'}} = 3 x^{2} e^{x}

Lösung

y = c_{1} e^{x} + c_{2} + e^{x} x^{3} - 3 (e^{x} x^{2} - 2 (e^{x} x - e^{x}))

Schritte zur Lösung

y^{''} (x) - y^{'} (x) = 3 x^{2} e^{x}

Solve linear ODE:

y = c_{1} e^{x} + c_{2} + e^{x} x^{3} - 3 (e^{x} x^{2} - 2 (e^{x} x - e^{x}))

y = c_{1} e^{x} + c_{2} + e^{x} x^{3} - 3 (e^{x} x^{2} - 2 (e^{x} x - e^{x}))

Graph

Beliebte Beispiele

derivative of (sqrt(1+x)/2)

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

integral of 1/((x-9)sqrt(x^2-18x))

\int \frac{1}{( x - 9 ) x ^{2} - 18 x} d x

erweitern 2/((-x^3+9x)^4)

e x p an d \frac{2}{( - x ^{3} + 9 x ) ^{4}}

integral of x/(1+x)

\int \frac{x}{1 + x} d x

y^'=1+x-y-xy,y(0)=-1

y^{^{'}} = 1 + x - y - x y, y (0) = - 1