# MAT 330 Final Exam_.docx - MAT 330 Final Exam Assignment...

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MAT 330 Final Exam Assignment Instructions: For each problem, be sure to show all steps for arriving at your solution. Work within this document. Use an equation tool as needed, and submit everything in one file. 1. For the below ordinary differential equation, state the order and determine if the equation is linear or nonlinear. Then find the general solution of the ordinary differential equation. Verify your solution. *2
C * e 2x * d dx = 2 Ce 2x 2 e 2x * C = 2 Ce 2x (Both sides are equal) 2. For the below ordinary differential equation, state the order and determine if the equation is linear or nonlinear. Then find the general solution of the ordinary differential equation. Verify your solution. x
y = -cos x + sinx x + C x y + cosx - sinx x = - C x (Multiply by x to get constant alone) xy + x * cosx – sinx = -C (Differentiate) y + x dy dx + cosx + -xsinx –cosx = 0 y + x dy dx = xsinx (Solution matches the original differential equation)