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Beliebt Rechnen >

x^{'''}-x=3e^t

Lösung

x^{^{'''}} - x = 3 e^{t}

Lösung

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

Schritte zur Lösung

x^{'''} (t) - x = 3 e^{t}

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

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

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

(d^3-d^2-6d)y=x^2+1

(d^{3} - d^{2} - 6 d) y = x^{2} + 1

(d^2+1)*y=e^{-x}+cos(x)+x^3+e^x*cos(x)

(d^{2} + 1) \cdot y = e^{- x} + cos (x) + x^{3} + e^{x} \cdot cos (x)

4y^{''}+4y=2sec(t/2)

4 y^{^{''}} + 4 y = 2 sec (\frac{t}{2})

(d^2-2d+2)y=e^{-x}+sin(x)

(d^{2} - 2 d + 2) y = e^{- x} + sin (x)