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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

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

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

(d^2y)/(dx^2)-5(dy)/(dx)+6y=pix^2+3

\frac{d ^{2} y}{d x ^{2}} - 5 \frac{d y}{d x} + 6 y = π x^{2} + 3

y^{''}+y^'-2y=9e^x-2

y^{^{''}} + y^{^{'}} - 2 y = 9 e^{x} - 2

(d^2x)/(dt^2)+3(dx)/(dt)+2x=2e^{-3t}

\frac{d ^{2} x}{d t ^{2}} + 3 \frac{d x}{d t} + 2 x = 2 e^{- 3 t}

y^{''}-y^'-6y=19sin(3x)

y^{^{''}} - y^{^{'}} - 6 y = 19 sin (3 x)