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=k

Lösung

y^{^{''}} + y^{^{'}} + y = k

Lösung

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

Schritte zur Lösung

y^{''} (t) + y^{'} (t) + y = k

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

4y^{''}-y=e^{1/2 x}+7

4 y^{^{''}} - y = e^{\frac{1}{2} x} + 7

y^{^{''}} - y^{^{'}} + y = 2

y^{''}+49y=-5cos(7t+pi^3),y(0)=0,y^'(0)=0

y^{^{''}} + 49 y = - 5 cos (7 t + π^{3}), y (0) = 0, y^{^{'}} (0) = 0

y^{''}-8y^'+16y=e^{4x}*ln(9+x^2)

y^{^{''}} - 8 y^{^{'}} + 16 y = e^{4 x} \cdot ln (9 + x^{2})

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

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