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Beliebt Rechnen >

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

Lösung

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

Lösung

y = - cos (t) + c_{2} sin (t)

Schritte zur Lösung

y^{''} (t) + y = 0

Solve linear ODE:

y = - cos (t) + c_{2} sin (t)

y = - cos (t) + c_{2} sin (t)

Graph

Beliebte Beispiele

4y^{''}-12y^'+5y=0

4 y^{^{''}} - 12 y^{^{'}} + 5 y = 0

y^{'''}+6y^{''}-11y^'-116y=0

y^{^{'''}} + 6 y^{^{''}} - 11 y^{^{'}} - 116 y = 0

25y^{''}+20y^'+4y=0

25 y^{^{''}} + 20 y^{^{'}} + 4 y = 0

4(d^2y)/(dx^2)+3(dy)/(dx)-10y=0

4 \frac{d ^{2} y}{d x ^{2}} + 3 \frac{d y}{d x} - 10 y = 0

(4 D^{2} - 4 D + 5) y = 0