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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{2 x} + c_{2} - \frac{x ^{4}}{8} - \frac{x ^{3}}{4} - \frac{3 x ^{2}}{8} - \frac{3 x}{8}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{2 x} + c_{2} - \frac{x ^{4}}{8} - \frac{x ^{3}}{4} - \frac{3 x ^{2}}{8} - \frac{3 x}{8}

y = c_{1} e^{2 x} + c_{2} - \frac{x ^{4}}{8} - \frac{x ^{3}}{4} - \frac{3 x ^{2}}{8} - \frac{3 x}{8}

Graph

Beliebte Beispiele

y^{''}+4y=2sec^3(2t)

y^{^{''}} + 4 y = 2 sec^{3} (2 t)

y^{''}-2y^'-3y=12e^x-12

y^{^{''}} - 2 y^{^{'}} - 3 y = 12 e^{x} - 12

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

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

(d^2y)/(dt^2)-4y=tcos(2t)

\frac{d ^{2} y}{d t ^{2}} - 4 y = t cos (2 t)

4y^{''}-8y^'+8y=e^xsec(x)

4 y^{^{''}} - 8 y^{^{'}} + 8 y = e^{x} sec (x)