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Beliebt Rechnen >

y^{''}-y^'=4xe^x

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

solvefor d,d(q)=(300)/(0.4q+8)

so l v e f or d, d (q) = \frac{300}{0.4 q + 8}

y^{''}+4y^'+3y=1-\H(t-2)+\H(t-6)

y^{^{''}} + 4 y^{^{'}} + 3 y = 1 - H (t - 2) + H (t - 6)

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

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

y^{''}+4y= 1/(sin(2t))

y^{^{''}} + 4 y = \frac{1}{sin ( 2 t )}

y^{''}-4y^'+4y=-7x+4x^2

y^{^{''}} - 4 y^{^{'}} + 4 y = - 7 x + 4 x^{2}