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Beliebt Rechnen >

linear y^{''}-2y^'+y=x^3+4x

Lösung

linear

y^{^{''}} - 2 y^{^{'}} + y = x^{3} + 4 x

Lösung

y = c_{1} e^{x} + c_{2} x e^{x} + x^{3} + 6 x^{2} + 22 x + 32

Schritte zur Lösung

y^{''} (x) - 2 y^{'} (x) + y = x^{3} + 4 x

Solve linear ODE:

y = c_{1} e^{x} + c_{2} x e^{x} + x^{3} + 6 x^{2} + 22 x + 32

y = c_{1} e^{x} + c_{2} x e^{x} + x^{3} + 6 x^{2} + 22 x + 32

Graph

Beliebte Beispiele

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

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

y^{''}+y=\H(t)-\H(t-pi/2)

y^{^{''}} + y = H (t) - H (t - \frac{π}{2})

y^{''}+4y^'+5y=25x^2+13sin(2x)

y^{^{''}} + 4 y^{^{'}} + 5 y = 25 x^{2} + 13 sin (2 x)

y^{''}+2y^'-3y=4e^{-3x}+10sin(x)

y^{^{''}} + 2 y^{^{'}} - 3 y = 4 e^{- 3 x} + 10 sin (x)

y^{''''}+2y^{''}+y=9t+10

y^{^{''''}} + 2 y^{^{''}} + y = 9 t + 10