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Beliebt Rechnen >

y^{''}+6y^'=5x

Lösung

y^{^{''}} + 6 y^{^{'}} = 5 x

Lösung

y = c_{1} + c_{2} e^{- 6 x} + \frac{5 x ^{2}}{12} - \frac{5 x}{36}

Schritte zur Lösung

y^{''} (x) + 6 y^{'} (x) = 5 x

Solve linear ODE:

y = c_{1} + c_{2} e^{- 6 x} + \frac{5 x ^{2}}{12} - \frac{5 x}{36}

y = c_{1} + c_{2} e^{- 6 x} + \frac{5 x ^{2}}{12} - \frac{5 x}{36}

Graph

Beliebte Beispiele

(D^2+2D-3)y=cos(2x)

(D^{2} + 2 D - 3) y = cos (2 x)

y^{''}+10y^'+41=0

y^{^{''}} + 10 y^{^{'}} + 41 = 0

y^{''}-y^'-3y-4=0

y^{^{''}} - y^{^{'}} - 3 y - 4 = 0

x^{''}+0.2x^'-x=0.3cos(1t)

x^{^{''}} + 0.2 x^{^{'}} - x = 0.3 cos (1 t)

(d^2-4d+3)y=2xe^{3x}+3e^xcos(2x)

(d^{2} - 4 d + 3) y = 2 x e^{3 x} + 3 e^{x} cos (2 x)