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Beliebt Rechnen >

4y^{'''}-3y^{''}-25y^'-6y=0

Lösung

4 y^{^{'''}} - 3 y^{^{''}} - 25 y^{^{'}} - 6 y = 0

Lösung

y = c_{1} e^{- 2 t} + c_{2} e^{- \frac{t}{4}} + c_{3} e^{3 t}

Schritte zur Lösung

4 y^{'''} (t) - 3 y^{''} (t) - 25 y^{'} (t) - 6 y = 0

Solve linear ODE:

y = c_{1} e^{- 2 t} + c_{2} e^{- \frac{t}{4}} + c_{3} e^{3 t}

y = c_{1} e^{- 2 t} + c_{2} e^{- \frac{t}{4}} + c_{3} e^{3 t}

Graph

Beliebte Beispiele

y^{''}+y=0,y(0)=2,y^'(0)=3

y^{^{''}} + y = 0, y (0) = 2, y^{^{'}} (0) = 3

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

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

41y-8y^'+y^{''}=0,y(0)=-3,y^'(0)=-32

41 y - 8 y^{^{'}} + y^{^{''}} = 0, y (0) = - 3, y^{^{'}} (0) = - 32

(y^{''}+y^')/y =0

\frac{y ^{^{''}} + y ^{^{'}}}{y} = 0

- y^{^{''}} - y = 0