Find. dy/du 1 y у31 + %3D

Q: fsin a? dx

A: I have appended the formula used in the solution part

Q: (c) ry-y dA where D is shown below.

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Q: NOTE: Enter the exact answer. yz dx dz dy %3D -144 –96

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Q: Given z = 64 sint + 19 and y= 4096 cost-9 %3D %3D d (i) dt %3D dy (ii) dt dy (iii) (write the…

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Q: Given a = 5t – 30 and y = 25 sin t dy (i) da dy (ii) dr?

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Q: r?= x? +y' Find dy

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Q: dy 2х %3D (Зу + x)— dx

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Q: 2 d y d y + dx? + y = e* dx?

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Q: Determine whether the following equation is sep dy = ty – 2, y(1)= 3 dt

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Q: Given x = 22t + 47 and y 154t? + 144 da (i) dt dy (ii) dt dy (ii. dx (write the simplified answer)

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Q: ф бху dх + 2ху dy %3D i

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Q: noad Engine dz, C |z-il=2 (d) 군 (+1) dz C:|2| =2

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Q: 1 d?y X = 3 ; y = u3 + 3u dx?

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Q: 8. (e* sen y + 3y) dx – (3x – e* sen y) dy = 0 %3D

A: Exact differential equation

Q: Find a solution of x dy =y?-y that pases du Through indicated points

A: For the given problem, below is the solution.

Q: y*dxdy V2 y у?)2 2 3/2 (x² +

A: Here we have to evaluate I=∫01∫0yy2dxdyx2+y232=22

Q: Given a = 7t – 15 and y = 49 sin t dy (i) dr dy (ii) dr?

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Q: Given z = 66 sint +22 and y= 66 cost+49

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Q: csc?y dy is equal to A -у соty — coty dy B) None у сoty — coty dy D у сoty + coty dy

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Q: V tano do %3D V2

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Q: Solve for h: rh 22. Then rewrite 2ar? + 2arh in terms %3D of r.

A: Given πr2h=22value of  h⇒h=22πr2

Q: H.w dy ーレ dy Xy in

A: Since you have posted multiple questions with sub parts, as per our guidelines , we will answer the…

Q: .cos(z+ y), y(0) 3 T피/4 da 12.

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Q: Find the solution of the following BVP given that y(0)=2 and y(1)=0. d’y_12dy. dx +36y = 0 dx

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Q: e.Find the solution of equation (29) by replacing v by y/x  dy/dx =( y − 4 x)/( x − y) .

A: Given differential equation is dydx=y-4xx-y Given equation is homogeneous differential equation.…

Q: Given a: 5 In(t) and y = 25 t2 then find %3D dy (Write the simplified answer) dx d?y |3D dx?

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Q: Evaluate /| ay² dA, where D = {(r, y) | sin æ < y < 1/2,0 < ¤ < a/6} %3D

A: To evaluate the given double integral.

Q: Use these equations to find dz/ðx and ðz/ðy for the following. x7 + y5 + z* = 4xyz %3D dz ax dz ду

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Q: – Só Si, sec²(rx³) dxdy

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Q: If y = e then y – y' + e*y is equal to %3D eet

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: Given that x2- y² = 9, then dy/dx D %3D

A: To find out the dy/dx

Q: a) Consider the IVP y" + y = sin nt + et – 6t³ , y(0) = 1, y'(0) = 2, y"(0) = 3 Find the image of…

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Q: Given = 8t + 39 and y = 48t + 117 %3D da (i) dt %3D dy (ii)- dt dy (iii. dx (write the simplified…

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Q: Given a = 6t + 18 and y = 27t2 +146 %3D %3D da (*) dt %3D dt dy (write the simplified answer) %3D da

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Q: To evaluate y?csc2(y³) cor?(y³)dy, we let u =cse(y³)

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Q: Use the equations to find dz/ðx and dz/ðy. e? = 4xyz 4yz az 2 - 4xy %D ax 4xz Əz ду 2- Axy

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Q: } Identify (write down) the type of DE, and find the general solution. (у - 3x)dy %3D (x + Зy)dx

A: Type of DE is, homogeneous &amp; linear and order is 1.   The solution is provided below :

Q: Given r = 15 In(t) and y= 225 t then find dy dx d'y da?

A: Given that x=15lnty=225t2

Q: Given y=ae" +Be where a and B are constants. Show that d'y Ay. dx

A: Given that: y=αe2x+βe-2x…

Q: 3 VE Evaluate Jo 2 v+5 dx.

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Q: 24. (х? + 2х + у) dx + 2dy %3D 0

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Q: Obtain the general solution unless otherwise instructed d²y 1. dr? - y = 10sin²x | dx2 SUMMARY OF…

A: Given differential equation, d2ydx2-y=10sin2(x) So corresponding homogeneous equation, d2ydx2-y=0

Q: Find the general antiderivative. If the substitution method is used, state first u, du and [lu)du.…

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Q: 2. xy -(xy? cot Cans ☆ +y?)

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Q: Find the particular solution of (xcos? - y) dx + xdy = 0 ; where y and x = 1 - у %3D = - 4

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Q: Evaluate y?z dz dy dx

A: Given that,

Q: 11. yVI – r² + /1– y? = 0 %3D

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Q: Given = 22t + 10 and y = 143t2 + 138 da (i) dt dy (ii)- dt dy (iii) dx (write the simplified answer)

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Q: Given a = 6t+ 18 and y 27t2 + 146 %3D da tf (*) dt cion dt dy (write the simplified answer) %3D da

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