de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

y^{''}+10000y=100sin(50x)

Lösung

y^{^{''}} + 10000 y = 100 sin (50 x)

Lösung

y = c_{1} cos (100 x) + c_{2} sin (100 x) + \frac{1}{75} sin (50 x)

Schritte zur Lösung

y^{''} (x) + 10000 y = 100 sin (50 x)

Solve linear ODE:

y = c_{1} cos (100 x) + c_{2} sin (100 x) + \frac{1}{75} sin (50 x)

y = c_{1} cos (100 x) + c_{2} sin (100 x) + \frac{1}{75} sin (50 x)

Graph

Beliebte Beispiele

y^{''}+10y^'+15=0

y^{^{''}} + 10 y^{^{'}} + 15 = 0

(d^2x)/(dt^2)+(dx)/(dt)+x=1

\frac{d ^{2} x}{d t ^{2}} + \frac{d x}{d t} + x = 1

y^{''}+y^'-y=t*e^t

y^{^{''}} + y^{^{'}} - y = t \cdot e^{t}

x^{''}+12x^'+11x=9cos(2t)

x^{^{''}} + 12 x^{^{'}} + 11 x = 9 cos (2 t)

y^{''}-7y^'=5x*e^x

y^{^{''}} - 7 y^{^{'}} = 5 x \cdot e^{x}