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Beliebt Rechnen >

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

Lösung

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

Lösung

y = cos (t) - sin (t)

Schritte zur Lösung

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

Solve linear ODE:

y = cos (t) - sin (t)

y = cos (t) - sin (t)

Graph

Beliebte Beispiele

y^{'''}-2y^{''}-29y^'-42y=0

y^{^{'''}} - 2 y^{^{''}} - 29 y^{^{'}} - 42 y = 0

1/2 x^{''}+3/2 x^'+x=0

\frac{1}{2} x^{^{''}} + \frac{3}{2} x^{^{'}} + x = 0

y^{''}+2y^'+100y=0

y^{^{''}} + 2 y^{^{'}} + 100 y = 0

24/32 x^{''}+6x=0,x(0)=0.5,x^'(0)=0

\frac{24}{32} x^{^{''}} + 6 x = 0, x (0) = 0.5, x^{^{'}} (0) = 0

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

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