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Beliebt Rechnen >

2y^{''}-13y^'+20y=4x^2+8x+10

Lösung

2 y^{^{''}} - 13 y^{^{'}} + 20 y = 4 x^{2} + 8 x + 10

Lösung

y = c_{1} e^{4 x} + c_{2} e^{\frac{5 x}{2}} + \frac{x ^{2}}{5} + \frac{33 x}{50} + \frac{889}{1000}

Schritte zur Lösung

2 y^{''} (x) - 13 y^{'} (x) + 20 y = 4 x^{2} + 8 x + 10

Solve linear ODE:

y = c_{1} e^{4 x} + c_{2} e^{\frac{5 x}{2}} + \frac{x ^{2}}{5} + \frac{33 x}{50} + \frac{889}{1000}

y = c_{1} e^{4 x} + c_{2} e^{\frac{5 x}{2}} + \frac{x ^{2}}{5} + \frac{33 x}{50} + \frac{889}{1000}

Graph

Beliebte Beispiele

(D^3+D-10)y=29e^{4x}

(D^{3} + D - 10) y = 29 e^{4 x}

(d^2y)/(dx^2)-4(dy)/(dx)+4y=e^x

\frac{d ^{2} y}{d x ^{2}} - 4 \frac{d y}{d x} + 4 y = e^{x}

y^{''''}-4y^{''}=x^2

y^{^{''''}} - 4 y^{^{''}} = x^{2}

y^{''}-4y^'+8y=x^3

y^{^{''}} - 4 y^{^{'}} + 8 y = x^{3}

y^{''}+4y=x^2+e^{-x}

y^{^{''}} + 4 y = x^{2} + e^{- x}