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Beliebt Rechnen >

y^{''}+y^'=5x+2e^x

Lösung

y^{^{''}} + y^{^{'}} = 5 x + 2 e^{x}

Lösung

y = c_{1} + c_{2} e^{- x} + \frac{5 x ^{2}}{2} - 5 x + e^{x}

Schritte zur Lösung

y^{''} (x) + y^{'} (x) = 5 x + 2 e^{x}

Solve linear ODE:

y = c_{1} + c_{2} e^{- x} + \frac{5 x ^{2}}{2} - 5 x + e^{x}

y = c_{1} + c_{2} e^{- x} + \frac{5 x ^{2}}{2} - 5 x + e^{x}

Graph

Beliebte Beispiele

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

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

y^{''}+5y^'+6y=36t+6

y^{^{''}} + 5 y^{^{'}} + 6 y = 36 t + 6

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

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

y^{''}-2y^'-3y=3e^{5t}

y^{^{''}} - 2 y^{^{'}} - 3 y = 3 e^{5 t}

(d^2y)/(dx^2)+4(dy)/(dx)-5y=24e^x

\frac{d ^{2} y}{d x ^{2}} + 4 \frac{d y}{d x} - 5 y = 24 e^{x}