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Beliebt Rechnen >

linear y^{''}-y=t,y(0)=0,y^'(0)=1

Lösung

linear

y^{^{''}} - y = t, y (0) = 0, y^{^{'}} (0) = 1

Lösung

y = e^{t} - e^{- t} - t

Schritte zur Lösung

y^{''} (t) - y = t

Solve linear ODE:

y = e^{t} - e^{- t} - t

y = e^{t} - e^{- t} - t

Graph

Beliebte Beispiele

y^{''}-2y^'+2y=e^2x(cos(x)-4sin(x))

y^{^{''}} - 2 y^{^{'}} + 2 y = e^{2} x (cos (x) - 4 sin (x))

y^{''}-y^'=5e^{2x}

y^{^{''}} - y^{^{'}} = 5 e^{2 x}

y^{''}-y-2y=1+t

y^{^{''}} - y - 2 y = 1 + t

y^{''}+5y=g(t),y(0)=-1,y^'(0)=0

y^{^{''}} + 5 y = g (t), y (0) = - 1, y^{^{'}} (0) = 0

(d^2y)/(dx^2)-4y=4e^{2x}

\frac{d ^{2} y}{d x ^{2}} - 4 y = 4 e^{2 x}