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Beliebt Rechnen >

y^{''}-y=2-x^2

Lösung

y^{^{''}} - y = 2 - x^{2}

Lösung

y = c_{1} e^{x} + c_{2} e^{- x} + x^{2}

Schritte zur Lösung

y^{''} (x) - y = 2 - x^{2}

Solve linear ODE:

y = c_{1} e^{x} + c_{2} e^{- x} + x^{2}

y = c_{1} e^{x} + c_{2} e^{- x} + x^{2}

Graph

Beliebte Beispiele

y^{''}-2y^'+y=-e^xsin(x)

y^{^{''}} - 2 y^{^{'}} + y = - e^{x} sin (x)

(d^2y)/(dx^2)-2(dy)/(dx)+y=x^2-1

\frac{d ^{2} y}{d x ^{2}} - 2 \frac{d y}{d x} + y = x^{2} - 1

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

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

2y^{''}-5y^'-3y=3-x

2 y^{^{''}} - 5 y^{^{'}} - 3 y = 3 - x

y^{''}-3y^'+2y=4t+e^{3t}

y^{^{''}} - 3 y^{^{'}} + 2 y = 4 t + e^{3 t}