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Beliebt Rechnen >

4y^{''}-y=e^{1/2 x}+7

Lösung

4 y^{^{''}} - y = e^{\frac{1}{2} x} + 7

Lösung

y = c_{1} e^{\frac{x}{2}} + c_{2} e^{- \frac{x}{2}} + \frac{e ^{\frac{x}{2}} x}{4} - 7

Schritte zur Lösung

4 y^{''} (x) - y = e^{\frac{1}{2} x} + 7

Solve linear ODE:

y = c_{1} e^{\frac{x}{2}} + c_{2} e^{- \frac{x}{2}} + \frac{e ^{\frac{x}{2}} x}{4} - 7

y = c_{1} e^{\frac{x}{2}} + c_{2} e^{- \frac{x}{2}} + \frac{e ^{\frac{x}{2}} x}{4} - 7

Graph

Beliebte Beispiele

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

y^{''}+49y=-5cos(7t+pi^3),y(0)=0,y^'(0)=0

y^{^{''}} + 49 y = - 5 cos (7 t + π^{3}), y (0) = 0, y^{^{'}} (0) = 0

y^{''}-8y^'+16y=e^{4x}*ln(9+x^2)

y^{^{''}} - 8 y^{^{'}} + 16 y = e^{4 x} \cdot ln (9 + x^{2})

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

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

(D^2+1)y=sec^3(x)

(D^{2} + 1) y = sec^{3} (x)