de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

y^{''}-y^'+y=3sin(t)-9e^{2t}

Lösung

y^{^{''}} - y^{^{'}} + y = 3 sin (t) - 9 e^{2 t}

Lösung

y = e^{\frac{t}{2}} (c_{1} cos (\frac{3 t}{2}) + c_{2} sin (\frac{3 t}{2})) + 3 cos (t) - 3 e^{2 t}

Schritte zur Lösung

y^{''} (t) - y^{'} (t) + y = 3 sin (t) - 9 e^{2 t}

Solve linear ODE:

y = e^{\frac{t}{2}} (c_{1} cos (\frac{3 t}{2}) + c_{2} sin (\frac{3 t}{2})) + 3 cos (t) - 3 e^{2 t}

y = e^{\frac{t}{2}} (c_{1} cos (\frac{3 t}{2}) + c_{2} sin (\frac{3 t}{2})) + 3 cos (t) - 3 e^{2 t}

Graph

Beliebte Beispiele

y^{''}-2y+37y=e^xcos(6x)

y^{^{''}} - 2 y + 37 y = e^{x} cos (6 x)

solvefor d,d(t)=60-4.9t*2

so l v e f or d, d (t) = 60 - 4.9 t \cdot 2

y''+y=\H(t-0)-2\H(t-1)

y^{''} + y = H (t - 0) - 2 H (t - 1)

y^{''}+4y^'+3y=4.5sin(2t)

y^{^{''}} + 4 y^{^{'}} + 3 y = 4.5 sin (2 t)

linear x^{''}+x^'=1-2t+t^2

l in e a r x^{^{''}} + x^{^{'}} = 1 - 2 t + t^{2}