This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Okay, faith. This is a separable differential equation. Step 1: Separate the variables. Multiply both sides by y and dx to get all y terms on one side and all x terms on the other. y \, dy = x \, dx Step 2: Integrate both sides. Integrate the left side with respect to y and the right side with respect to x. y \, dy = x \, dx Step 3: Perform the integration. The integral of y is y. The integral of x is - x. Remember to add the constant of integration, C. y = - x + C The general solution to the differential equation is: y = - x + C That's 2 down. 3 left today — send the next one.