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Beliebt Rechnen >

y^{''}+6y^'+5y=2x

Lösung

y^{^{''}} + 6 y^{^{'}} + 5 y = 2 x

Lösung

y = c_{1} e^{- x} + c_{2} e^{- 5 x} + \frac{2 x}{5} - \frac{12}{25}

Schritte zur Lösung

y^{''} (x) + 6 y^{'} (x) + 5 y = 2 x

Solve linear ODE:

y = c_{1} e^{- x} + c_{2} e^{- 5 x} + \frac{2 x}{5} - \frac{12}{25}

y = c_{1} e^{- x} + c_{2} e^{- 5 x} + \frac{2 x}{5} - \frac{12}{25}

Graph

Beliebte Beispiele

tangent f(x)=3x^{1/2}+x^{3/2},\at x=16

t an g e n t f (x) = 3 x^{\frac{1}{2}} + x^{\frac{3}{2}}, at x = 16

integral of 2/(x(ln(x))^2)

\int \frac{2}{x ( ln ( x ) ) ^{2}} d x

derivative (x^2)/((2+x))

d er i v a t i v e \frac{x ^{2}}{( 2 + x )}

y^{''}-8y^'-17y=0

y^{^{''}} - 8 y^{^{'}} - 17 y = 0

derivative of 3x^2y-2x^2y^2+3y

\frac{d}{d x} (3 x^{2} y - 2 x^{2} y^{2} + 3 y)