(5) Under what Conditions is (ax+by) dx + (KX+LY)dy=o exact? selve the eXact equation,Ca, b,k, L Cunstant) • (ANS.5): b=k,ax+2kxy +LY=C•

Q: Answer: y = (2/x) + (c/x)ex

A: Given

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A: By using integration formula, we calculate the given integral.

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A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: ) ور شم( موم 2 4-x 2 2 4-x 2 x++y¯+z° e - dz dy dx -2

A: To evaluate the below integral. ∫−22∫04−x2∫04−x2−y2e−x2+y2+z23/2dz dy dx

Q: : )-+(÷), zw= (C) dx 1 et %3D dt 1 (: :)-+(-), -= (C) dx dt 1

A: Given dxdt=0110 x +ete-t Here let take A= 0110A-λI=-λ11-λ=0λ2-1=0λ=±1 Hence the eigen vector for 1…

Q: Find the general solution of the equation y" – 2y' + 5y F0 Do not need to show your work, just give…

A: First we find the auxiliary equation and then we find the general solution of the given homogeneous…

Q: y" tý = -6xx 8 y²-y = et (² siux + 4 cos x) 9) ý - Ý x y" + y ² -4 y² - 4y = 3 = ³x - 4x-6.

A: Since you have posted multiple questions,  as per our guidelines we are supposed to be answered only…

Q: Let f(x) = - then f'(- 1) = (x + 2)2"

A:

Q: (d) : 2x² – 8x – 13 dx x² – 5x – 6 2.

A: As per company rules we can answer only first question and rest can be reposted

Q: Find general solution. y" + 4y = 5 sec ² (2+)

A: