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Beliebt Rechnen >

y^{'''}-6y^{''}+11y^'-6y=xe^x

Lösung

y^{^{'''}} - 6 y^{^{''}} + 11 y^{^{'}} - 6 y = x e^{x}

Lösung

y = c_{1} e^{x} + c_{2} e^{2 x} + c_{3} e^{3 x} + \frac{e ^{x} x ^{2}}{4} + \frac{3 e ^{x} x}{4}

Schritte zur Lösung

y^{'''} (x) - 6 y^{''} (x) + 11 y^{'} (x) - 6 y = x e^{x}

Solve linear ODE:

y = c_{1} e^{x} + c_{2} e^{2 x} + c_{3} e^{3 x} + \frac{e ^{x} x ^{2}}{4} + \frac{3 e ^{x} x}{4}

y = c_{1} e^{x} + c_{2} e^{2 x} + c_{3} e^{3 x} + \frac{e ^{x} x ^{2}}{4} + \frac{3 e ^{x} x}{4}

Graph

Beliebte Beispiele

integral from 1 to 5 of x/(x^2+6x+13)

\int_{1}^{5} \frac{x}{x ^{2} + 6 x + 13} d x

integral of 1/(1+e^{12x)}

\int \frac{1}{1 + e ^{12 x}} d x

slopeintercept (7,0),(-1,2)

s l o p e in t erce pt (7, 0), (- 1, 2)

derivative e^{-(t-3)^2}

d er i v a t i v e e^{- (t - 3)^{2}}

(\partial)/(\partial y)(x^3y^4)

\frac{\partial}{\partial y} (x^{3} y^{4})