(dy)/(dx)=(cos(10x))/(e^{10y)}

Lösung

\frac{d y}{d x} = \frac{cos ( 10 x )}{e ^{10 y}}

y = \frac{ln ( sin ( 10 x ) + c _{1} )}{10}

Schritte zur Lösung

\frac{d y}{d x} = \frac{cos ( 10 x )}{e ^{10 y}}

Solve separable ODE:

y = \frac{ln ( sin ( 10 x ) + c _{1} )}{10}

y = \frac{ln ( sin ( 10 x ) + c _{1} )}{10}

x \to 0 lim (\frac{2 ^{x}}{3 ^{x}})

x \to 0 lim (\frac{x ^{2}}{x ^{2} + 1})

\int_{1}^{2} \frac{9}{x ^{3} + 5 x} d x

\int 15 tan^{3} (x) d x

a re a e^{- x}, (x + 1)^{2}, x = 1