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Beliebt Rechnen >

-6y^{''}-5y^'-y=-(t^2+2t+2e^{2t})

Lösung

- 6 y^{^{''}} - 5 y^{^{'}} - y = - (t^{2} + 2 t + 2 e^{2 t})

Lösung

y = c_{1} e^{- \frac{t}{2}} + c_{2} e^{- \frac{t}{3}} + t^{2} - 8 t + 28 + \frac{2}{35} e^{2 t}

Schritte zur Lösung

- 6 y^{''} (t) - 5 y^{'} (t) - y = - (t^{2} + 2 t + 2 e^{2 t})

Solve linear ODE:

y = c_{1} e^{- \frac{t}{2}} + c_{2} e^{- \frac{t}{3}} + t^{2} - 8 t + 28 + \frac{2}{35} e^{2 t}

y = c_{1} e^{- \frac{t}{2}} + c_{2} e^{- \frac{t}{3}} + t^{2} - 8 t + 28 + \frac{2}{35} e^{2 t}

Graph

Beliebte Beispiele

0.75y^{''}+50y=5t^2

0.75 y^{^{''}} + 50 y = 5 t^{2}

(D^2-5D+6)y=x^2e^{3x}

(D^{2} - 5 D + 6) y = x^{2} e^{3 x}

y^{''}+10y^'+20y=50sinh(5x)

y^{^{''}} + 10 y^{^{'}} + 20 y = 50 sinh (5 x)

(d^4y)/(dx^4)+3(d^2y)/(dx^2)-4=0

\frac{d ^{4} y}{d x ^{4}} + 3 \frac{d ^{2} y}{d x ^{2}} - 4 = 0

y^{''}-y^'=x+sin(x)

y^{^{''}} - y^{^{'}} = x + sin (x)