PLEASE ANSWER ASAP!WILL RATE THUMBS UP IF CORRECT!!! Give the general solution ofx y'+ 5 y= 2 x+ In(x)а) О1- In(x) -x+25b) O y-x-3 Im() +☆+웅1О у- In (x) +251을x+ In(x) -!!y252d) O y=s+5 In(x) +1In(x)1+Cy325 *f) O None of the above.()

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Answered: Give the general solution of x y'+ 5 y=…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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2. Factory A produces a solution of 40% concentration of chemical Y at a rate of 7 kg/min, while factory B produces a solution of 20% concentration of chemical Y at a rate of 4 kg/min. Both solutions are fed into a mixer containing 60 kg of a 25% concentration solution of chemical Y. The mixture leaves the mixer at a rate of 10 kg/min. Assuming uniform mixing, what will be the concentration of chemical Y in the final solution after 20 minutes?2)
Obtain the particular solution satisfying the initial condition indicated.
Find a homogeneous linear differential equation with constant coefficients whose general solution is given: y = C1cosh 7x + C2sinh7x y = C1 + C2e2xcos 5x + C3e2xsin 5x y = C1cos x + C2sin x + C3cos 2x + C4sin 2x
Only through the elimination method by using the operators obtained in the solution paper above, obtain the differential equations provided by the functions u(x) and v(x)
Write in your words about some of the applications of the partial differential equations With detailed explanation
Obtain the particular solution satisfying the initial conditions indicated.

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Give the general solution of x y'+ 5 y= 2 x+ In(x) а) О 1 능In(x) - x+ 25 1 + + (*)u - x =« O (4 - In (x) 25 1 x+ In(x) – !! 25 2 d) O y= s+5 In(x) + 1 In(x) 1 y 3 +C 5 x 25 x f) O None of the above. ()