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Beliebt Rechnen >

y^{''}+3y=5,y(0)=1,y^'(0)=1

Lösung

y^{^{''}} + 3 y = 5, y (0) = 1, y^{^{'}} (0) = 1

Lösung

y = - \frac{2}{3} cos (3 t) + \frac{1}{3} sin (3 t) + \frac{5}{3}

Schritte zur Lösung

y^{''} (t) + 3 y = 5

Solve linear ODE:

y = - \frac{2}{3} cos (3 t) + \frac{1}{3} sin (3 t) + \frac{5}{3}

y = - \frac{2}{3} cos (3 t) + \frac{1}{3} sin (3 t) + \frac{5}{3}

Graph

Beliebte Beispiele

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

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

y^{''}+2y^'+2y=acos(x)

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

y^{''}-2y^'+10y=40,y(0)=0,y^'(0)=0

y^{^{''}} - 2 y^{^{'}} + 10 y = 40, y (0) = 0, y^{^{'}} (0) = 0

y^{^{''}} - 4 \cdot y = - 3

u^{''}-a*\H(x)=x

u^{^{''}} - a \cdot H (x) = x