What is the solution for (dx)/(dy)=(6x5-2x+1)/(cos(y)+ey) ?

The solution for (dx)/(dy)=(6x5-2x+1)/(cos(y)+ey) is x=(e^{28*integral of 1/(cos(y)+ey)})/(28)-1/28

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(dx)/(dy)=(6x5-2x+1)/(cos(y)+ey)

\frac{d x}{d y} = \frac{6 x 5 - 2 x + 1}{cos ( y ) + ey}

x = \frac{e ^{28 \cdot \int \frac{1}{c o s ( y ) + ey} d y}}{28} - \frac{1}{28}

Solution steps

\frac{d x}{d y} = \frac{6 x 5 - 2 x + 1}{cos ( y ) + ey}

Solve separable ODE:

x = \frac{e ^{28 \cdot \int \frac{1}{c o s ( y ) + ey} d y}}{28} - \frac{1}{28}

x = \frac{e ^{28 \cdot \int \frac{1}{c o s ( y ) + ey} d y}}{28} - \frac{1}{28}

\frac{d y}{d t} = y

\frac{d h}{d t} = - \frac{3}{100} \cdot h - 18

y^{^{'}} - 4 x y^{2} = 0

\frac{d y}{d x} - e^{- y} sec^{2} (x) = 0

y^{^{'}} - 14 x y = 0

What is the solution for (dx)/(dy)=(6x5-2x+1)/(cos(y)+ey) ?
The solution for (dx)/(dy)=(6x5-2x+1)/(cos(y)+ey) is x=(e^{28*integral of 1/(cos(y)+ey)})/(28)-1/28