Exercise
$\sqrt{1+2x}dx=3\sin\left(3y\right)dy$
Step-by-step Solution
Learn how to solve problems step by step online. Solve the differential equation (1+2x)^(1/2)dx=3sin(3y)dy. Divide both sides of the equation by dx. Simplify the fraction \frac{\sqrt{1+2x}dx}{dx} by dx. Group the terms of the differential equation. Move the terms of the y variable to the left side, and the terms of the x variable to the right side of the equality. Simplify the expression \frac{1}{\sin\left(3y\right)}dy.
Solve the differential equation (1+2x)^(1/2)dx=3sin(3y)dy
Final answer to the exercise
$y=\frac{2\mathrm{arccot}\left(C_4e^{9\sqrt{1+2x}}\right)}{3}$