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Beliebt Rechnen >

4y^{''}+y=10cos(x)

Lösung

4 y^{^{''}} + y = 10 cos (x)

Lösung

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

Schritte zur Lösung

4 y^{''} (x) + y = 10 cos (x)

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}+4y^'+4y=8e^{-2}x

y^{^{''}} + 4 y^{^{'}} + 4 y = 8 e^{- 2} x

y^{''}+3y^'+2y=2x+3

y^{^{''}} + 3 y^{^{'}} + 2 y = 2 x + 3

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

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

y^{''}+2y^'-3y=3x^2-4x

y^{^{''}} + 2 y^{^{'}} - 3 y = 3 x^{2} - 4 x

y^{''}+2y^'+y=(e^x)/(x^2)

y^{^{''}} + 2 y^{^{'}} + y = \frac{e ^{x}}{x ^{2}}