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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{\frac{x}{5}} + c_{2} + \frac{3 x}{80}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{\frac{x}{5}} + c_{2} + \frac{3 x}{80}

y = c_{1} e^{\frac{x}{5}} + c_{2} + \frac{3 x}{80}

Graph

Beliebte Beispiele

(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}

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

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