14) ſe Vtanh* e° dy

Q: If sinr = In y, show that dyOUTM dr OUTMO (1--- (1– 2) dy = y. dr

A:

Q: HiW Ys Sin u , ノ

A: Explanation of the solution is given below...

Q: Show the only soution to ax = 1, a + 0, is x = a^-1|

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Q: If z = æe", then dz = (ev)dx + (aye) dy. Select one: OTrue OFalse

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: 5. If u = e1#1+az#2++anIn, where a² + a³ + · ·..+ a = 1, show %3D + = U dx?

A:

Q: Solve the following first-order linear DE's. y' + (cotx)y = xcscx, y = 1

A: we have to find the general solution

Q: |(7) In general, SUT S (SUT)', but (SU T)' S°UT. Pra

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Q: 4/ur grans funthon y"-Uy't3y = et

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Q: If the first line has the form Ax + By + C = 0 and the second line has the form Dx + Ey + F = 0 and…

A: The first line is of the form Ax+By+C=0and the second line is of the form Dx+Ey+F=0 As the first…

Q: ,2x. General solutton ? %3D

A: Note: As per bartleby instruction when more then one question is given only one has to be answered.…

Q: 3- S e J coscinx) d

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Q: 0. gy c ube a losed Cont Conlainig he okigin it. Pycoue thal az 2.

A: I have used Cauchy integral formula

Q: 2 If In(ax)dx = 3, then a = %3D %3D 1 4 4 e4 4 ез 4 O None

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Q: find dy ny the Chaenin Rult yz tan u and UzJxz+5

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Q: ue of the det e 16 is

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Q: In r dy If y , then is cosh z

A: Straightway proceed to differentiate both sides,

Q: Find the length of the curve y = In(e - 1) – In(e + 1), In 2 sxsIn 3.

A:

Q: π/3 So, f²ef/³ t In u tans ds du dt

A: Given problem:-

Q: Evaluate the integrals

A: 37. ∫112142dtt+4tt38. ∫0edyy1+(ln y)2

Q: What is tanh (Ei) O V3 V3i O 13

A:

Q: Fin d the sc cond soluhen prr tk edo te edo If Konow that y, =x IS a solotień

A: We will reduce the order of the given given second order homogeneous differential equation using the…

Q: If u= In x, then 1- (In x)2 dx=?

A: Find your answer below

Q: If a > 0 and [[ 20*+v 20+u° dr dy = 1(e* – 1) , a =?

A: Using polar coordinate evaluate the above integral

Q: 3) if y= CoSX then shift it by a) left TC b) Down1, lett 2

A:

Q: 1/w cos Tº If h(w) = 10 -dz then h'(w) = (m),4

A: Given:-h(w)=∫101wcosx9x2dxTo find: h'(w)

Q: 2): Consider the DE y" – y" – 6y = 0 -

A: Follow the procedure given below.

Q: dø +3ø = sin ot on (0,+∞) dt [$(0) = 1.

A:

Q: J Ax) dx 11. 12. -3

A: 11) From 0 to 5 there is a trapezium and from 5 to 6 there is a triangle

Q: - seyi + avīj + () dt = 3 3

A: We have to perform integration by parts and then insert given limit

Q: J sec° (10t) tan“ (10r) dt 4 10.

A:

Q: Compute, [(1 – ye-")dx +e¯*dy where C is any path from (0, 1) to (1, 2).

A:

Q: FIND dy AMD dy AMD Gint OF

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Q: 7 the n ya In Cx? _y?) Do not Equatio InCx-yリ Do not check modificd Laplace

A: This is a problem of partial and Laplace.

Q: Evaluate: / (In(2r – 1) – () + 25) da + 25 ) dx | Limits: [1, 6] Using Trapezoidal, n = 30

A:

Q: (7 In GL(2,Z,), det O 35

A: Option 1 is correct.

Q: Find the discontinnity point of &Cz): ニ そzそ+

A: Given that, the function is fz=z+1z2+2z+1. Set z2+2z+1=0 to find the undefined points. Compare the…

Q: 4. Evaluat the fellowing using Simpson's ţ ruloi h =d *x?dx;Ans.c(8.667) B-SとJx iAns. (8、み59)。 A-」

A: By using Simpson's 1/3 rd we have to find solution of given integrals.

Q: If u In x, then 1-(In x)2 dx =?

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Q: In(v¤) dædy 6. 15. Calculate ry

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Q: - [Mesin(2x) dx = esin(2x) + C_then the Mis equal to +C,t

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Q: 31. *7/2 csc t cot t dt

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Q: 3 Prove Prive that d tin'u e I du

A: As we now the identity tan2(x) +1=sec2(x)

Q: If z = exy where x = In(u + v) and y = sin(u-v), find az and az du

A: We use the partial derivatives and chain rule of differentiation to answer the given question.

Q: (1,1) Evaluate [ (3x²+4xy+ix)´dz along y=x² (0,0)

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Q: If [ In(ax)dx = 3, then a %3D 1

A:

Q: If s = 3/t + 1, then ds Preview %3D dt

A: