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Beliebt Rechnen >

(D^2+1)y=0

Lösung

(D^{2} + 1) y = 0

Lösung

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

Schritte zur Lösung

(D^{2} + 1) y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

2x^{''}+4x^'-3x=0

2 x^{^{''}} + 4 x^{^{'}} - 3 x = 0

y^{''}+6y^'+13y=0,y(0)=1,y^'(0)=0

y^{^{''}} + 6 y^{^{'}} + 13 y = 0, y (0) = 1, y^{^{'}} (0) = 0

9 y^{^{''}} - 16 y = 0

3(d^2y)/(dx^2)-4(dy)/(dx)+y=0

3 \frac{d ^{2} y}{d x ^{2}} - 4 \frac{d y}{d x} + y = 0

9y^{''}+36y^'+100y=0,y(1)=4,y^'(1)=9

9 y^{^{''}} + 36 y^{^{'}} + 100 y = 0, y (1) = 4, y^{^{'}} (1) = 9