Final Answer
Step-by-step Solution
Specify the solving method
Divide fractions $\frac{1}{\frac{1}{\cos\left(y\right)+e^y}}$ with Keep, Change, Flip: $a\div \frac{b}{c}=\frac{a}{1}\div\frac{b}{c}=\frac{a}{1}\times\frac{c}{b}=\frac{a\cdot c}{b}$
Learn how to solve problems step by step online.
$\cos\left(y\right)+e^y=6x^5-2x+1$
Learn how to solve problems step by step online. Solve the differential equation dy/dx=(6x^5-2x+1)/(cos(y)+e^y). Divide fractions \frac{1}{\frac{1}{\cos\left(y\right)+e^y}} with Keep, Change, Flip: a\div \frac{b}{c}=\frac{a}{1}\div\frac{b}{c}=\frac{a}{1}\times\frac{c}{b}=\frac{a\cdot c}{b}. Integrate both sides of the differential equation, the left side with respect to . Expand the integral \int\left(\cos\left(y\right)+e^y\right)dy into 2 integrals using the sum rule for integrals, to then solve each integral separately. Expand the integral \int\left(6x^5-2x+1\right)dx into 3 integrals using the sum rule for integrals, to then solve each integral separately.