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Beliebt Rechnen >

y^{''}-3y^'-4y=3x^2+2

Lösung

y^{^{''}} - 3 y^{^{'}} - 4 y = 3 x^{2} + 2

Lösung

y = c_{1} e^{4 x} + c_{2} e^{- x} - \frac{3 x ^{2}}{4} + \frac{9 x}{8} - \frac{55}{32}

Schritte zur Lösung

y^{''} (x) - 3 y^{'} (x) - 4 y = 3 x^{2} + 2

Solve linear ODE:

y = c_{1} e^{4 x} + c_{2} e^{- x} - \frac{3 x ^{2}}{4} + \frac{9 x}{8} - \frac{55}{32}

y = c_{1} e^{4 x} + c_{2} e^{- x} - \frac{3 x ^{2}}{4} + \frac{9 x}{8} - \frac{55}{32}

Graph

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