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Beliebt Rechnen >

y^{''}-3y^'+2y=e^{5x}

Lösung

y^{^{''}} - 3 y^{^{'}} + 2 y = e^{5 x}

Lösung

y = c_{1} e^{2 x} + c_{2} e^{x} + \frac{1}{12} e^{5 x}

Schritte zur Lösung

y^{''} (x) - 3 y^{'} (x) + 2 y = e^{5 x}

Solve linear ODE:

y = c_{1} e^{2 x} + c_{2} e^{x} + \frac{1}{12} e^{5 x}

y = c_{1} e^{2 x} + c_{2} e^{x} + \frac{1}{12} e^{5 x}

Graph

Beliebte Beispiele

derivative of cos(x+sin(x))

\frac{d}{d x} (cos (x) + sin (x))

steigung f(x)=(1+3x^{1/2})/(5+x^{3/2)}

s l o p e f (x) = \frac{1 + 3 x ^{\frac{1}{2}}}{5 + x ^{\frac{3}{2}}}

derivative y=7x+4

d er i v a t i v e y = 7 x + 4

derivative 6x^2cos(x)cot(x)

d er i v a t i v e 6 x^{2} cos (x) cot (x)

integral from 1 to 3 of x^3+2x-3

\int_{1}^{3} x^{3} + 2 x - 3 d x