de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

x^{''}+x=acos(t)

Lösung

x^{^{''}} + x = a cos (t)

Lösung

x = c_{1} cos (t) + c_{2} sin (t) + \frac{a t sin ( t )}{2}

Schritte zur Lösung

x^{''} (t) + x = a cos (t)

Solve linear ODE:

x = c_{1} cos (t) + c_{2} sin (t) + \frac{a t sin ( t )}{2}

x = c_{1} cos (t) + c_{2} sin (t) + \frac{a t sin ( t )}{2}

Graph

Beliebte Beispiele

y^{'''}+25y^'=10sin(5t)-4t^2

y^{^{'''}} + 25 y^{^{'}} = 10 sin (5 t) - 4 t^{2}

y^{''}+y=1,y(0)=0,y^'(0)=1

y^{^{''}} + y = 1, y (0) = 0, y^{^{'}} (0) = 1

y^{''}+2y^'+y=4000sec(40x)

y^{^{''}} + 2 y^{^{'}} + y = 4000 sec (40 x)

ax^{''}+bx^'+c=0

a x^{^{''}} + b x^{^{'}} + c = 0

(d^2y)/(dt^2)-3(dy)/(dt)-10y=4e^{5t}

\frac{d ^{2} y}{d t ^{2}} - 3 \frac{d y}{d t} - 10 y = 4 e^{5 t}