Exercise
$\left(e^y+4\right)\cdot dx+e^{\left(x+y\right)}\cdot dy=0$
Step-by-step Solution
Learn how to solve simplification of algebraic expressions problems step by step online. Solve the differential equation (e^y+4)dx+e^(x+y)dy=0. Group the terms of the equation. Divide both sides of the equation by dx. Solve the product -\left(e^y+4\right). Apply the property of the product of two powers of the same base in reverse: a^{m+n}=a^m\cdot a^n.
Solve the differential equation (e^y+4)dx+e^(x+y)dy=0
Final answer to the exercise
$\ln\left|e^y+4\right|=\frac{1}{e^x}+C_0$