de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

y^{''}+4y=3csc(t)

Lösung

y^{^{''}} + 4 y = 3 csc (t)

Lösung

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

Schritte zur Lösung

y^{''} (t) + 4 y = 3 csc (t)

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

x^{''}+2x^'+x=e^{-2t},x(0)=2,x^'(0)=1

x^{^{''}} + 2 x^{^{'}} + x = e^{- 2 t}, x (0) = 2, x^{^{'}} (0) = 1

(D-2)^2y=20-3xe^{2x}

(D - 2)^{2} y = 20 - 3 x e^{2 x}

y^{''}-y=cos^2(x)

y^{^{''}} - y = cos^{2} (x)

y^{''}+4y=3sin(2x)+x^2-1

y^{^{''}} + 4 y = 3 sin (2 x) + x^{2} - 1

y^{''}+4y=cos(x)cos(3x)

y^{^{''}} + 4 y = cos (x) cos (3 x)