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Beliebt Rechnen >

5y^{''}+y^'=-4x

Lösung

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

Lösung

y = c_{1} + c_{2} e^{- \frac{x}{5}} - 2 x^{2} + 20 x

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} + c_{2} e^{- \frac{x}{5}} - 2 x^{2} + 20 x

y = c_{1} + c_{2} e^{- \frac{x}{5}} - 2 x^{2} + 20 x

Graph

Beliebte Beispiele

integral of (5x^4)/(1+x^{10)}

\int \frac{5 x ^{4}}{1 + x ^{10}} d x

integral of sqrt(x^2-6x+10)

\int x^{2} - 6 x + 10 d x

y^{''}-5y^'=(8t-7)sin(2t)

y^{^{''}} - 5 y^{^{'}} = (8 t - 7) sin (2 t)

limit as x approaches 7 of x(x-2)

x \to 7 lim (x (x - 2))

derivative of cos(5x^2+7x-1)

\frac{d}{d x} (cos (5 x^{2} + 7 x - 1))