Exercise
$\left(10ye^x\right)\frac{dy}{e^{8y}+9e^{8y}}=5e^{10x}dx$
Step-by-step Solution
Learn how to solve trigonometric equations problems step by step online. Solve the differential equation 10ye^x(dy/(e^(8y))+9e^(8y))=5e^(10x)dx. Simplify, dividing both sides of the equality by . Divide both sides of the equation by 2. Multiplying polynomials y and \frac{dy}{e^{8y}}+9e^{8y}. Simplify the expression {0}.
Solve the differential equation 10ye^x(dy/(e^(8y))+9e^(8y))=5e^(10x)dx
Final answer to the exercise
$y=\frac{\sqrt[3]{e^{9x}+C_1}}{\sqrt[3]{54}}$