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Beliebt Rechnen >

y^{''}-y=t-2,y(2)=3,y^'(2)=0

Lösung

y^{^{''}} - y = t - 2, y (2) = 3, y^{^{'}} (2) = 0

Lösung

y = 2 e^{t - 2} + e^{2 - t} - t + 2

Schritte zur Lösung

y^{''} (t) - y = t - 2

Solve linear ODE:

y = 2 e^{t - 2} + e^{2 - t} - t + 2

y = 2 e^{t - 2} + e^{2 - t} - t + 2

Graph

Beliebte Beispiele

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

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

4y^{''}-16y^'+64y=-(2e^{8x})/(3x)

4 y^{^{''}} - 16 y^{^{'}} + 64 y = - \frac{2 e ^{8 x}}{3 x}

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

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

y^{''}+5y^'+6y=x^2

y^{^{''}} + 5 y^{^{'}} + 6 y = x^{2}

y^{^{''}} + 9 y = e^{t}