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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} + c_{2} e^{- 4 x} + \frac{x ^{3}}{12} + \frac{5 x ^{2}}{16} + \frac{27 x}{32}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} + c_{2} e^{- 4 x} + \frac{x ^{3}}{12} + \frac{5 x ^{2}}{16} + \frac{27 x}{32}

y = c_{1} + c_{2} e^{- 4 x} + \frac{x ^{3}}{12} + \frac{5 x ^{2}}{16} + \frac{27 x}{32}

Graph

Beliebte Beispiele

(d^2y)/(dx^2)-1/5 (dy)/(dx)+3/400 =0

\frac{d ^{2} y}{d x ^{2}} - \frac{1}{5} \frac{d y}{d x} + \frac{3}{400} = 0

(D^2-3D+2)y=6e^{3x}+sin(2x)

(D^{2} - 3 D + 2) y = 6 e^{3 x} + sin (2 x)

y^{''}+18y^'+81y=x

y^{^{''}} + 18 y^{^{'}} + 81 y = x

y^{''}+81y=2sin(at)

y^{^{''}} + 81 y = 2 sin (a t)

y^{''}+19y=4e^x

y^{^{''}} + 19 y = 4 e^{x}