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Beliebt Rechnen >

y^{''}+1y=0,y(pi/2)=3,y^'(pi/2)=-1

Lösung

y^{^{''}} + 1 y = 0, y (\frac{π}{2}) = 3, y^{^{'}} (\frac{π}{2}) = - 1

Lösung

y = cos (t) + 3 sin (t)

Schritte zur Lösung

y^{''} (t) + 1 y = 0

Solve linear ODE:

y = cos (t) + 3 sin (t)

y = cos (t) + 3 sin (t)

Graph

Beliebte Beispiele

-2y^{''}-10y^'+5/2 y=0

- 2 y^{^{''}} - 10 y^{^{'}} + \frac{5}{2} y = 0

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

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

x^{'''}+x^{''}-6x^'=0

x^{^{'''}} + x^{^{''}} - 6 x^{^{'}} = 0

4y^{''}-y^'+17y=0

4 y^{^{''}} - y^{^{'}} + 17 y = 0

y^{''}+4/3 y^'+y=0,y(0)=1,y^'(0)=-10/3

y^{^{''}} + \frac{4}{3} y^{^{'}} + y = 0, y (0) = 1, y^{^{'}} (0) = - \frac{10}{3}