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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}+4y^'+4y=6x+7

y^{^{''}} + 4 y^{^{'}} + 4 y = 6 x + 7

y^{'''}+y^{''}+y^'+y=sin(3x)

y^{^{'''}} + y^{^{''}} + y^{^{'}} + y = sin (3 x)

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

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

y^{''}+9y=2e^{3t}+2cos(2t)

y^{^{''}} + 9 y = 2 e^{3 t} + 2 cos (2 t)

(d^2y}{dx^2}-2(dy)/(dx)+y=\frac{e^x)/x

\frac{d ^{2} y}{d x ^{2}} - 2 \frac{d y}{d x} + y = \frac{e ^{x}}{x}