NAME: MAT 052: DIFFERENTIAL EQUATIONS SECTION: PROBLEM SET No.3 Instruction: Perform the given tasks. To be able to satisfy completely the requirements, show the working formulas and process for detailing. NO TO SHORTCUTS. BOXED your final answer. WRITE LEGIBLY, NEATLY, and CLEARLY. For uploading of outputs, please have a clear picture of it and POSTS them in an UPRIGHT POSITION. Thank you and God bless. Find the solution of the given Bernoulli Differential Equation (BDE). 1. x³dy – y²dx = 2xy 2. бу — ху* %—D 2y 3. xdx – y3dy = xy-²dx - [Hint: To be able to earn full credit in solving the given BDE, show the key steps to determine the following: a. Standard form of Bernoulli DE. [Indicate the guide formula, either equation (1) or (1.a), that is achieved. Refer to SAS #10 page 2. Also, recall our previous discussion] b. п С. Z d. Function P e. Function Q f. Reduced Function P g. Reduced Function Q h. Integrating Factor i. General solution

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