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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{x} + c_{2} - 4 x + e^{x} x

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{x} + c_{2} - 4 x + e^{x} x

y = c_{1} e^{x} + c_{2} - 4 x + e^{x} x

Graph

Beliebte Beispiele

(d^2y)/(dx^2)+(dy)/(dx)-6y=xe^{2x}

\frac{d ^{2} y}{d x ^{2}} + \frac{d y}{d x} - 6 y = x e^{2 x}

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

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

y^{''}-8y^'+16y=-5e^{4x}+(e^{4x})/x

y^{^{''}} - 8 y^{^{'}} + 16 y = - 5 e^{4 x} + \frac{e ^{4 x}}{x}

ay^{''}+by^'+cy=g(t)

a y^{^{''}} + b y^{^{'}} + cy = g (t)

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