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Beliebt Rechnen >

d*e(d^2-4)y=(e^2)^x

Lösung

d \cdot e (d^{2} - 4) y = (e^{2})^{x}

Lösung

y = c_{1} + c_{2} e^{- 2 x} + c_{3} e^{2 x} + \frac{e ^{2 x - 1} x}{8}

Schritte zur Lösung

d e (d^{2} - 4) y = (e^{2})^{x}

Solve linear ODE:

y = c_{1} + c_{2} e^{- 2 x} + c_{3} e^{2 x} + \frac{e ^{2 x - 1} x}{8}

y = c_{1} + c_{2} e^{- 2 x} + c_{3} e^{2 x} + \frac{e ^{2 x - 1} x}{8}

Graph

Beliebte Beispiele

(d^2-1)y=x^2cos(x)

(d^{2} - 1) y = x^{2} cos (x)

y^{''}-4y^'-5y=2cosh(x)

y^{^{''}} - 4 y^{^{'}} - 5 y = 2 cosh (x)

(d^3-6d^2+11d-6)y=e-2x+e-3x

(d^{3} - 6 d^{2} + 11 d - 6) y = e - 2 x + e - 3 x

(d^2+4)y=sin^3(x)

(d^{2} + 4) y = sin^{3} (x)

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

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