(dy)/(dx)=2cos(x)(y+1),y(pi/6)=2

Lösung

\frac{d y}{d x} = 2 cos (x) (y + 1), y (\frac{π}{6}) = 2

y = 3 e^{2 s i n (x) - 1} - 1

Schritte zur Lösung

\frac{d y}{d x} = 2 cos (x) (y + 1)

Solve separable ODE:

y = 3 e^{2 s i n (x) - 1} - 1

y = 3 e^{2 s i n (x) - 1} - 1

\frac{\partial}{\partial x} (2 x^{2} y^{2})

n = 0 \sum \infty 9 (\frac{3}{4})^{n}

\int - 2 y d y

d er i v a t i v e \frac{1}{2 y ^{\frac{3}{2}}}

\int_{0}^{1} \frac{1}{4 x - 1} d x