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Beliebt Rechnen >

y^{''}+y=4,y(0)=0,y^'(0)=0

Lösung

y^{^{''}} + y = 4, y (0) = 0, y^{^{'}} (0) = 0

Lösung

y = - 4 cos (t) + 4

Schritte zur Lösung

y^{''} (t) + y = 4

Solve linear ODE:

y = - 4 cos (t) + 4

y = - 4 cos (t) + 4

Graph

Beliebte Beispiele

4q^{''}+8q^'+1/(0.0125)q=88t

4 q^{^{''}} + 8 q^{^{'}} + \frac{1}{0.0125} q = 88 t

x^{''}+x^'+2x=cos(2t)

x^{^{''}} + x^{^{'}} + 2 x = cos (2 t)

(d^2y)/(dx^2)-16y=9.6e^{4x}+30e^x

\frac{d ^{2} y}{d x ^{2}} - 16 y = 9.6 e^{4 x} + 30 e^{x}

y^{'''}=3y^{''}+9(e^{2x})+5(cos(x))

y^{^{'''}} = 3 y^{^{''}} + 9 (e^{2 x}) + 5 (cos (x))

y^{''}+7y^'+10y=7u

y^{^{''}} + 7 y^{^{'}} + 10 y = 7 u