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Beliebt Rechnen >

y^{'''}+3y+4y=0

Lösung

y^{^{'''}} + 3 y + 4 y = 0

Lösung

y = c_{1} e^{- 37 t} + e^{\frac{3 7 t}{2}} (c_{2} cos (\frac{3 7 3 t}{2}) + c_{3} sin (\frac{3 7 3 t}{2}))

Schritte zur Lösung

y^{'''} (t) + 3 y + 4 y = 0

Solve linear ODE:

y = c_{1} e^{- 37 t} + e^{\frac{3 7 t}{2}} (c_{2} cos (\frac{3 7 3 t}{2}) + c_{3} sin (\frac{3 7 3 t}{2}))

y = c_{1} e^{- 37 t} + e^{\frac{3 7 t}{2}} (c_{2} cos (\frac{3 7 3 t}{2}) + c_{3} sin (\frac{3 7 3 t}{2}))

Graph

Beliebte Beispiele

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

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

y^{''}+4y^'+20y=0,y(pi)=4,y(0)=2

y^{^{''}} + 4 y^{^{'}} + 20 y = 0, y (π) = 4, y (0) = 2

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

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

(d^2y)/(dx^2)(1)-(dy)/(dx)(9)=0

\frac{d ^{2} y}{d x ^{2}} (1) - \frac{d y}{d x} (9) = 0

7y^{''}+34y^'-5y=0

7 y^{^{''}} + 34 y^{^{'}} - 5 y = 0