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Beliebt Rechnen >

x^{''}-2x^'+2x=0,x(0)=0,x^'(0)=1

Lösung

x^{^{''}} - 2 x^{^{'}} + 2 x = 0, x (0) = 0, x^{^{'}} (0) = 1

Lösung

x = e^{t} sin (t)

Schritte zur Lösung

x^{''} (t) - 2 x^{'} (t) + 2 x = 0

Solve linear ODE:

x = e^{t} sin (t)

x = e^{t} sin (t)

Graph

Beliebte Beispiele

20y^{''}+3y^'-2y=0

20 y^{^{''}} + 3 y^{^{'}} - 2 y = 0

3(d^2y)/(dx^2)-2(dy)/(dx)-8y=0

3 \frac{d ^{2} y}{d x ^{2}} - 2 \frac{d y}{d x} - 8 y = 0

625y^{''}-81y=0,y(0)=9,y^'(0)=6

625 y^{^{''}} - 81 y = 0, y (0) = 9, y^{^{'}} (0) = 6

(D^3-D^2-4D+4)y=0

(D^{3} - D^{2} - 4 D + 4) y = 0

4y^{''}+16y^'+1/16 y=0

4 y^{^{''}} + 16 y^{^{'}} + \frac{1}{16} y = 0