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Beliebt Rechnen >

y^{''}+y=x^2+1,y(0)=3,y(1)=0

Lösung

y^{^{''}} + y = x^{2} + 1, y (0) = 3, y (1) = 0

Lösung

y = 4 cos (x) - \frac{4 cos ( 1 ) sin ( x )}{sin ( 1 )} + x^{2} - 1

Schritte zur Lösung

y^{''} (x) + y = x^{2} + 1

Solve linear ODE:

y = 4 cos (x) - \frac{4 cos ( 1 ) sin ( x )}{sin ( 1 )} + x^{2} - 1

y = 4 cos (x) - \frac{4 cos ( 1 ) sin ( x )}{sin ( 1 )} + x^{2} - 1

Beliebte Beispiele

D(D+3)y=x(5+e^x)

D (D + 3) y = x (5 + e^{x})

y^{''}+2y^'-3y=4e^{2t}

y^{^{''}} + 2 y^{^{'}} - 3 y = 4 e^{2 t}

y^{''}-y=e^tcos(t),y(0)=0,y^'(0)=0

y^{^{''}} - y = e^{t} cos (t), y (0) = 0, y^{^{'}} (0) = 0

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

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

y^{''}-2y^'+y=t^{-4}e^t

y^{^{''}} - 2 y^{^{'}} + y = t^{- 4} e^{t}