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Beliebt Rechnen >

y^{''}-8y^'+17y=x^2e^{4x}

Lösung

y^{^{''}} - 8 y^{^{'}} + 17 y = x^{2} e^{4 x}

Lösung

y = e^{4 x} (c_{1} cos (x) + c_{2} sin (x)) + e^{4 x} x^{2} - 2 e^{4 x}

Schritte zur Lösung

y^{''} (x) - 8 y^{'} (x) + 17 y = x^{2} e^{4 x}

Solve linear ODE:

y = e^{4 x} (c_{1} cos (x) + c_{2} sin (x)) + e^{4 x} x^{2} - 2 e^{4 x}

y = e^{4 x} (c_{1} cos (x) + c_{2} sin (x)) + e^{4 x} x^{2} - 2 e^{4 x}

Graph

Beliebte Beispiele

(d^2y)/(dx^2)-2(dy)/(dx)+y=(e^x)/(x^3)

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

y^{^{''}} - y^{^{'}} = t^{2}

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

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

y^{''}+2y^'+y=e^{3x},y(0)=0,y^'(0)=0

y^{^{''}} + 2 y^{^{'}} + y = e^{3 x}, y (0) = 0, y^{^{'}} (0) = 0

y^{''}-4y^'+3y=9x^2

y^{^{''}} - 4 y^{^{'}} + 3 y = 9 x^{2}