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Beliebt Rechnen >

4y^{''}-21y^'+20y=0,y(0)=0

Lösung

4 y^{^{''}} - 21 y^{^{'}} + 20 y = 0, y (0) = 0

Lösung

y = - c_{2} e^{4 t} + c_{2} e^{\frac{5 t}{4}}

Schritte zur Lösung

4 y^{''} (t) - 21 y^{'} (t) + 20 y = 0

Solve linear ODE:

y = - c_{2} e^{4 t} + c_{2} e^{\frac{5 t}{4}}

y = - c_{2} e^{4 t} + c_{2} e^{\frac{5 t}{4}}

Graph

Beliebte Beispiele

(d^2y)/(dx^2)-4(dy)/(dx)-5y=0

\frac{d ^{2} y}{d x ^{2}} - 4 \frac{d y}{d x} - 5 y = 0

u^{''}+\H(t)=0,\H(0)=0,u^'(0)=2

u^{^{''}} + H (t) = 0, H (0) = 0, u^{^{'}} (0) = 2

2y^{''}+2y^'+8y=0

2 y^{^{''}} + 2 y^{^{'}} + 8 y = 0

(d^2y)/(dx^2)+7(dy)/(dx)-8y=0

\frac{d ^{2} y}{d x ^{2}} + 7 \frac{d y}{d x} - 8 y = 0

y^{''}-16y^'+113y=0

y^{^{''}} - 16 y^{^{'}} + 113 y = 0