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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{\frac{x}{2}} + c_{2} e^{- \frac{x}{2}} + \frac{e ^{\frac{x}{2}} x}{4} - 2

Schritte zur Lösung

4 y^{''} (x) - y = e^{\frac{x}{2}} + 2

Solve linear ODE:

y = c_{1} e^{\frac{x}{2}} + c_{2} e^{- \frac{x}{2}} + \frac{e ^{\frac{x}{2}} x}{4} - 2

y = c_{1} e^{\frac{x}{2}} + c_{2} e^{- \frac{x}{2}} + \frac{e ^{\frac{x}{2}} x}{4} - 2

Graph

Beliebte Beispiele

y^{''}-4y=6cos(3t+30)

y^{^{''}} - 4 y = 6 cos (3 t + 3 0^{\circ})

y^{''}-7y^'+6y=3e^t

y^{^{''}} - 7 y^{^{'}} + 6 y = 3 e^{t}

y^{''}+4y=te^{3t}+3sin(4t)

y^{^{''}} + 4 y = t e^{3 t} + 3 sin (4 t)

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

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

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

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