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Beliebt Rechnen >

y^{'''}-y^{''}-y^'+y=e^{-2x}+3

Lösung

y^{^{'''}} - y^{^{''}} - y^{^{'}} + y = e^{- 2 x} + 3

Lösung

y = c_{1} e^{- x} + c_{2} e^{x} + c_{3} x e^{x} - \frac{1}{9} e^{- 2 x} + 3

Schritte zur Lösung

y^{'''} (x) - y^{''} (x) - y^{'} (x) + y = e^{- 2 x} + 3

Solve linear ODE:

y = c_{1} e^{- x} + c_{2} e^{x} + c_{3} x e^{x} - \frac{1}{9} e^{- 2 x} + 3

y = c_{1} e^{- x} + c_{2} e^{x} + c_{3} x e^{x} - \frac{1}{9} e^{- 2 x} + 3

Graph

Beliebte Beispiele

x^{''}+7x^'+10x=20,x(0)=5,x^'(0)=3

x^{^{''}} + 7 x^{^{'}} + 10 x = 20, x (0) = 5, x^{^{'}} (0) = 3

y^{''}-3y^'+2y=2x^2+1

y^{^{''}} - 3 y^{^{'}} + 2 y = 2 x^{2} + 1

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

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

(d^2x)/(dt^2)+16x=1+2sin(4t)

\frac{d ^{2} x}{d t ^{2}} + 16 x = 1 + 2 sin (4 t)

y^{''}-4y=2x-sin(x)

y^{^{''}} - 4 y = 2 x - sin (x)