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Beliebt Rechnen >

8t^2y^{''}-16y=11t^2-1

Lösung

8 t^{2} y^{^{''}} - 16 y = 11 t^{2} - 1

Lösung

y = c_{1} t^{2} + \frac{c _{2}}{t} + \frac{66 t ^{2} ln ( t ) - 22 t ^{2} + 9}{144}

Schritte zur Lösung

8 t^{2} y^{''} (t) - 16 y = 11 t^{2} - 1

Solve linear ODE:

y = c_{1} t^{2} + \frac{c _{2}}{t} + \frac{66 t ^{2} ln ( t ) - 22 t ^{2} + 9}{144}

y = c_{1} t^{2} + \frac{c _{2}}{t} + \frac{66 t ^{2} ln ( t ) - 22 t ^{2} + 9}{144}

Graph

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