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Beliebt Rechnen >

t^2y^{''}-2y=6t^2-1

Lösung

t^{2} y^{^{''}} - 2 y = 6 t^{2} - 1

Lösung

y = c_{1} t^{2} + \frac{c _{2}}{t} + \frac{12 t ^{2} ln ( t ) - 4 t ^{2} + 3}{6}

Schritte zur Lösung

t^{2} y^{''} (t) - 2 y = 6 t^{2} - 1

Solve linear ODE:

y = c_{1} t^{2} + \frac{c _{2}}{t} + \frac{12 t ^{2} ln ( t ) - 4 t ^{2} + 3}{6}

y = c_{1} t^{2} + \frac{c _{2}}{t} + \frac{12 t ^{2} ln ( t ) - 4 t ^{2} + 3}{6}

Graph

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