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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{3 x} + c_{2} e^{- x} + \frac{e ^{3 x} x}{4} + \frac{1}{5} sin (x) - \frac{1}{10} cos (x)

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{3 x} + c_{2} e^{- x} + \frac{e ^{3 x} x}{4} + \frac{1}{5} sin (x) - \frac{1}{10} cos (x)

y = c_{1} e^{3 x} + c_{2} e^{- x} + \frac{e ^{3 x} x}{4} + \frac{1}{5} sin (x) - \frac{1}{10} cos (x)

Graph

Beliebte Beispiele

16y^{''}-8y^'+y=33-16x+x^2

16 y^{^{''}} - 8 y^{^{'}} + y = 33 - 16 x + x^{2}

y^{''}-8y^'+7y=4e^3x

y^{^{''}} - 8 y^{^{'}} + 7 y = 4 e^{3} x

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

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

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

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

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

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