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Your classmate Xingchen wants to solve the following ODE using the substitution u = dy x2 +xy+ y2 = dx 2x2 (a) Help Xingchen by
Your classmate Xingchen wants to solve the following ODE using the substitution u = dy x2 +xy+ y2 = dx 2x2 (a) Help Xingchen by rewriting the above equation in terms of u and x. du dx (b) Using part (a), help Xingchen solve the ODE of y(). Provide your solution in the essay box below. You can leave the answer in implicit form. Part (b) mathematics writing advice: Use int (f (x) , x) for integral, arctan for the inverse function of tan, sqrt for square root, abs for absolute value, log for In. For example . int (sqrt (x^2+1) , x) for vx2 +1dx, arctan (x/3) for tan . log (abs (5*x) ) for In 5x]
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