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Beliebt Rechnen >

y^{''}+4y=t^2+7e^t

Lösung

y^{^{''}} + 4 y = t^{2} + 7 e^{t}

Lösung

y = c_{1} cos (2 t) + c_{2} sin (2 t) + \frac{t ^{2}}{4} - \frac{1}{8} + \frac{7}{5} e^{t}

Schritte zur Lösung

y^{''} (t) + 4 y = t^{2} + 7 e^{t}

Solve linear ODE:

y = c_{1} cos (2 t) + c_{2} sin (2 t) + \frac{t ^{2}}{4} - \frac{1}{8} + \frac{7}{5} e^{t}

y = c_{1} cos (2 t) + c_{2} sin (2 t) + \frac{t ^{2}}{4} - \frac{1}{8} + \frac{7}{5} e^{t}

Graph

Beliebte Beispiele

y^{''''}-8y^{''}+16y=x^2

y^{^{''''}} - 8 y^{^{''}} + 16 y = x^{2}

d(x)=(100)/(sqrt(pi))e^{-100x^2(x)^2}

d (x) = \frac{100}{π} e^{- 100 x^{2} (x)^{2}}

y^{''}-y^'=xe(x),y(0)=2,y^'(0)=1

y^{^{''}} - y^{^{'}} = x e (x), y (0) = 2, y^{^{'}} (0) = 1

x^{''}+x^'+12x=40cos(3t)

x^{^{''}} + x^{^{'}} + 12 x = 40 cos (3 t)

y^{''}-3y^'=e^{3x}

y^{^{''}} - 3 y^{^{'}} = e^{3 x}