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Beliebt Rechnen >

y^{''}-2y^'+5y=25x^2+12

Lösung

y^{^{''}} - 2 y^{^{'}} + 5 y = 25 x^{2} + 12

Lösung

y = e^{x} (c_{1} cos (2 x) + c_{2} sin (2 x)) + 5 x^{2} + 4 x + 2

Schritte zur Lösung

y^{''} (x) - 2 y^{'} (x) + 5 y = 25 x^{2} + 12

Solve linear ODE:

y = e^{x} (c_{1} cos (2 x) + c_{2} sin (2 x)) + 5 x^{2} + 4 x + 2

y = e^{x} (c_{1} cos (2 x) + c_{2} sin (2 x)) + 5 x^{2} + 4 x + 2

Graph

Beliebte Beispiele

integral from 0 to 2 of (3t)/((3-t)^2)

\int_{0}^{2} \frac{3 t}{( 3 - t ) ^{2}} d t

tangent y=3x^2+5x,(-3,-13)

t an g e n t y = 3 x^{2} + 5 x, (- 3, - 13)

limit as x approaches 3 of e^x

x \to 3 lim (e^{x})

derivative of ln(sqrt(x^2+3))

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

derivative of 3^{(x^4+1^3})

\frac{d}{d x} (3^{(x^{4} + 1)^{3}})