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Beliebt Rechnen >

y^{''}+4y=0,y^1(0)=sin^2(x)

Lösung

y^{^{''}} + 4 y = 0, y^{1} (0) = sin^{2} (x)

Lösung

y = c_{1} cos (2 x) + c_{2} sin (2 x)

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} cos (2 x) + c_{2} sin (2 x)

y = c_{1} cos (2 x) + c_{2} sin (2 x)

Graph

Beliebte Beispiele

2 y^{^{''}} - 72 y = 0

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

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

u^{''}((x))/x+b^2\H(x)((x))/x =0

u^{^{''}} \frac{( x )}{x} + b^{2} H (x) \frac{( x )}{x} = 0

(d^{2} - 6 d + 9) y = 0

x^{'''}-2x^{''}=0

x^{^{'''}} - 2 x^{^{''}} = 0