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Beliebt Rechnen >

y^{''}-5y^'=25t,y(0)=5,y^'(0)=0

Lösung

y^{^{''}} - 5 y^{^{'}} = 25 t, y (0) = 5, y^{^{'}} (0) = 0

Lösung

y = (5 - \frac{24}{5}) e^{5 t} + \frac{24}{5} - \frac{5 t ^{2}}{2} - t

Schritte zur Lösung

y^{''} (t) - 5 y^{'} (t) = 25 t

Solve linear ODE:

y = (5 - \frac{24}{5}) e^{5 t} + \frac{24}{5} - \frac{5 t ^{2}}{2} - t

y = (5 - \frac{24}{5}) e^{5 t} + \frac{24}{5} - \frac{5 t ^{2}}{2} - t

Graph

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