Evaluate the Particular solution of the differential equation and find y when a = O and x = 2. If decimals, use 8 decimal places. (x² + a²)dy = 2x[(x² + a²)² + 3y]dx IC:a = 0,x = 1,y = 2

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A: Solution:-  Step:1       Differential equation        dydx+7xy=xgiven that when x=0, y=2Now ,…

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Q: Evaluate the Particular solution of the differential equation and find x when y = 0. If decimals,…

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A: The given differential equation is: y'=xy+y2x2⇒dydx=xyx2+y2x2⇒dydx=yx+yx2...(1)

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Q: Determine whether given differential equation is exact. If it is, find the solution. 3y (x² – 1) dx…

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Q: solve the first order homogenous differential equation (x² + æy) dy = (æ² + y²) dæl

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A: Follow the procedure given below.

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A: Explanation of the answer is as follows

Q: Specifically a differential equations problem. Question in pic below.

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Q: Specifically a differential equations problem. Question in pic below.

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A: It is given that, 1-t2y''-2ty'+2y=0, yt=t. Now, Differentiate yt=t as follows: y'=1 and y=0.