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Beliebt Rechnen >

y^{''}-9y^'=(9x)/(e^{3x)}

Lösung

y^{^{''}} - 9 y^{^{'}} = \frac{9 x}{e ^{3 x}}

Lösung

y = c_{1} e^{9 x} + c_{2} + \frac{1}{4} e^{- 3 x} x + \frac{5}{48} e^{- 3 x}

Schritte zur Lösung

y^{''} (x) - 9 y^{'} (x) = \frac{9 x}{e ^{3 x}}

Solve linear ODE:

y = c_{1} e^{9 x} + c_{2} + \frac{1}{4} e^{- 3 x} x + \frac{5}{48} e^{- 3 x}

y = c_{1} e^{9 x} + c_{2} + \frac{1}{4} e^{- 3 x} x + \frac{5}{48} e^{- 3 x}

Graph

Beliebte Beispiele

y^{''}+y^'-2y=sin(t)

y^{^{''}} + y^{^{'}} - 2 y = sin (t)

y^{'''}+324y^'=tan(18x)

y^{^{'''}} + 324 y^{^{'}} = tan (18 x)

2y^{''}+3y^'+4y=-5cos(x)+sin(x)

2 y^{^{''}} + 3 y^{^{'}} + 4 y = - 5 cos (x) + sin (x)

y^{''}+k^2y=ksin(kx+a)

y^{^{''}} + k^{2} y = k sin (k x + a)

y^{''}+8y^'+25y=10sin(5t)-25

y^{^{''}} + 8 y^{^{'}} + 25 y = 10 sin (5 t) - 25