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Beliebt Rechnen >

y^{''}-14y^'+49y=2te^{7t}

Lösung

y^{^{''}} - 14 y^{^{'}} + 49 y = 2 t e^{7 t}

Lösung

y = c_{1} e^{7 t} + c_{2} t e^{7 t} + \frac{e ^{7 t} t ^{3}}{3}

Schritte zur Lösung

y^{''} (t) - 14 y^{'} (t) + 49 y = 2 t e^{7 t}

Solve linear ODE:

y = c_{1} e^{7 t} + c_{2} t e^{7 t} + \frac{e ^{7 t} t ^{3}}{3}

y = c_{1} e^{7 t} + c_{2} t e^{7 t} + \frac{e ^{7 t} t ^{3}}{3}

Graph

Beliebte Beispiele

v^{''}-1v=2e^{4x}

v^{^{''}} - 1 v = 2 e^{4 x}

linear y^{''}+y^'-2y=upi(t)-u^2pi(t)

l in e a r y^{^{''}} + y^{^{'}} - 2 y = u π (t) - u^{2} π (t)

y^{''}+2y^'+2y=5

y^{^{''}} + 2 y^{^{'}} + 2 y = 5

y^{''}-4y^'-5y=6x^2+4x+1

y^{^{''}} - 4 y^{^{'}} - 5 y = 6 x^{2} + 4 x + 1

y^{''}+2y^'+2y=4

y^{^{''}} + 2 y^{^{'}} + 2 y = 4