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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} cos (x) + c_{2} sin (x) - 1 + ln (sec (x) + tan (x)) sin (x)

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} cos (x) + c_{2} sin (x) - 1 + ln (sec (x) + tan (x)) sin (x)

y = c_{1} cos (x) + c_{2} sin (x) - 1 + ln (sec (x) + tan (x)) sin (x)

Graph

Beliebte Beispiele

2q^{''}+10q^'+12q=e^{-3t}

2 q^{^{''}} + 10 q^{^{'}} + 12 q = e^{- 3 t}

(d^2y)/(dx^2)+12(dy)/(dx)+32y=160

\frac{d ^{2} y}{d x ^{2}} + 12 \frac{d y}{d x} + 32 y = 160

y^{''}-4y^'=16t+36,y(-2)=2,y^'(-2)=-1

y^{^{''}} - 4 y^{^{'}} = 16 t + 36, y (- 2) = 2, y^{^{'}} (- 2) = - 1

(d^2y)/(dx^2)+a(dy)/(dx)=b

\frac{d ^{2} y}{d x ^{2}} + a \frac{d y}{d x} = b

y^{''}+36y=12tan(6t)

y^{^{''}} + 36 y = 12 tan (6 t)