Final answer to the problem
Step-by-step Solution
Specify the solving method
Divide fractions $\frac{1}{\frac{1}{e^{2y}}}$ 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 differential equations problems step by step online.
$e^{2y}=2x$
Learn how to solve differential equations problems step by step online. Solve the differential equation dy/dx=(2x)/(e^(2y)). Divide fractions \frac{1}{\frac{1}{e^{2y}}} 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 . Solve the integral \int e^{2y}dy and replace the result in the differential equation. Solve the integral \int2xdx and replace the result in the differential equation.