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A: I am attaching image so that you understand each and every step.
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- B4. Find the integrating factor by inspection then solve. x(x2 - y2 - x)dx - y(x2 - y2)dy = 0Using variable separable technique, find the general solution of (4x+xy^2)dx + (y+x^2y)dy = 0Solve using Integrating Factor by Inspection. Show Complete Solution. (x^3+xy^2-y)dx+(y^3+x^2y+x)dy=0 Ans: 2arctan(y/x)=c-x^2-y^2
- Q#01: Evaluate with the technique of Integration By Formula: ∫dx/4^2+9 Q#02: Solve: i)∫x.sec^2 xdx ii)∫x^4 .lnxxdx hint taking u=x^4,v=lnx Q#03: Integrate with the help of Partial Fraction: i)2x^3+x^2-x-3/x(x-1)(2x+3) dx ii) 7x-25/(x-3)(x-4) dxy=A x ln(x) + B x + F is the particular solution of the second-order linear DEQ: xy'' =8 where y'=2 at the point (9,8). Determine A,B,F. y=A x ln(x) + B x + F is also called an explicit solution. Is the DEQ separable, exact, 1st-order linear, Bernouli?Show Detailed Solution. For a cooking oil company, the price they are paid for coconuts in large shipments is based on the amount of coconut extract from the load. Therefore, there is a need to determine the amount of coconut extract in the whole load prior to extraction. A sample of n coconut can be taken and find y1, . . . , yn , the amount of coconut extract in these coconuts. Nȳ is hard to get in this case because N is hard to count. How can the total amount of coconut extract from a load shipment be measured? Using the total weight would be a good idea and easy to obtain. The relationship between the weight of the load and the weight of the coconut extract one obtains can be used. As it turns out, 15 coconuts selected by simple random sampling were weighed and also extracted. The total weight of the coconut shipment was found to be 900 kg. Given these results (below):Suppose there were 6870 coconuts in the shipment. Compute the variance of the regular SRS estimate of the…
- using excel, find the approximation to y(3)= using Euler's method 1st order with h = 0.025, y(2) = 2, and solution of y'=2xy.Using the Lagrangian Method. Determine the optimal mix of the two goods minimizing average cost such that the total quantity of X and Y is 40 units. AC=2X^2+4Y^2-4XY-40X-100Y+40[3] Solve the integration by partial fractions.