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Beliebt Rechnen >

y^{''}+4y^'-2y=2x^2-3x+6

Lösung

y^{^{''}} + 4 y^{^{'}} - 2 y = 2 x^{2} - 3 x + 6

Lösung

y = c_{1} e^{(- 2 + 6) x} + c_{2} e^{(- 2 - 6) x} - x^{2} - \frac{5 x}{2} - 9

Schritte zur Lösung

y^{''} (x) + 4 y^{'} (x) - 2 y = 2 x^{2} - 3 x + 6

Solve linear ODE:

y = c_{1} e^{(- 2 + 6) x} + c_{2} e^{(- 2 - 6) x} - x^{2} - \frac{5 x}{2} - 9

y = c_{1} e^{(- 2 + 6) x} + c_{2} e^{(- 2 - 6) x} - x^{2} - \frac{5 x}{2} - 9

Graph

Beliebte Beispiele

integral of (-3)/((2x)^2)

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

limit as x approaches 2 of 3x+2

x \to 2 lim (3 x + 2)

tangent y=6x-x^2

t an g e n t y = 6 x - x^{2}

derivative of (2e^x+x^2ln(x))

\frac{d}{d x} ((2 e^{x} + x^{2}) ln (x))

limit as x approaches 1 of x

x \to 1 lim (x)