de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

(d^2y)/(dx^2)+(dy)/(dx)=tan(2x)

Lösung

\frac{d ^{2} y}{d x ^{2}} + \frac{d y}{d x} = tan (2 x)

Lösung

y = c_{1} + c_{2} e^{- x} - \frac{1}{2} ln (cos (2 x)) + e^{- x} \cdot \int - e^{x} tan (2 x) d x

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} + \frac{d y}{d x} = tan (2 x)

Solve linear ODE:

y = c_{1} + c_{2} e^{- x} - \frac{1}{2} ln (cos (2 x)) + e^{- x} \cdot \int - e^{x} tan (2 x) d x

y = c_{1} + c_{2} e^{- x} - \frac{1}{2} ln (cos (2 x)) + e^{- x} \cdot \int - e^{x} tan (2 x) d x

Beliebte Beispiele

49y^{''}+140y^'+136=0

49 y^{^{''}} + 140 y^{^{'}} + 136 = 0

y^{''}+y=2cos(x),y(0)=1

y^{^{''}} + y = 2 cos (x), y (0) = 1

y^{'''}+y^'=t^2+1

y^{^{'''}} + y^{^{'}} = t^{2} + 1

y^{^{''}} - 2 y + 2 = 0

y^{''}-9y^'=81x^2+7,y(0)=-1,y^'(0)=2

y^{^{''}} - 9 y^{^{'}} = 81 x^{2} + 7, y (0) = - 1, y^{^{'}} (0) = 2