# Shakita Huerta Final Exam 330 .docx - Shakita Huerta MAT...

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Shakita Huerta MAT 330 Final Exam 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. 1. dy dx = 2 FirstOrder Linear Equation dy dx = 2 y 1 y dy = 2 dx ln y = 2 x + c 1 y = e 2 x + c 1 y = e 2 x e c 1 y = ce 2 x 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. y
y x = x ( cos ( x ) ) ( cosx ) dx + c y x =− xcos ( x ) + sin ( x ) + c y = sin ( x ) x cos ( x ) + c x 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