d²y What is the degree of the DE dx2 dy 1+ dx A 1/2 с) 3 D) 2 B.

Q: Using the fomat of dy/dx below, find (A +B+C+ D). dy 40t? + At +B dx -Ct? + Dt + 3 ||

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Q: Given a = 8t – 22 and y = 64 sin t %3D %3D - dy dx d'y %3D da?

A: Let x = 8t - 22 and y = 64sin(t) Differentiate x with respect to t dxdt=ddt(8t-22)=ddt8t-ddt22dxdt=8…

Q: Prove that when y = e 2 Sin 2.x, then 4- d y dy +17y=0 +4. dx? dx

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Q: If the substitution u = x/2 is made, the integral 1-(플)2 dx = %3D -

A: Let's integrate.

Q: Show for Re(z) > 1 dx = r(2) ((2). et - 1

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Q: Exercise: Answer the following by finding dy/dx. 5sin-1 # – cosh x (a) y = Vsec4 x + In 7 4 (b) + In…

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Q: 1 Evaluate J JA (2²+v²)² dxdy, where A is determined by the conditions 1< x² + y? < 2.

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Q: Answer the following questions for the DE. (y – 2)dx + (3x - y)dy 0 %3D What type of DE is shown?

A: (y-2)dx+(3x-y)dy=0  is first order non  linear ordinary  differential equation

Q: et What is the integrable form of dx? e* - e -X A) du B) du (c) и?—1) 2 du D [(1-u?) du

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Q: Given: y = f(u) and u = g(x), find dy/dx: %3D a) у %3D сos u, и%3D—х/3 -x/3 u = b) y = tan u, и 3D…

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Q: 2 dy dx Evaluate the integral: 1+Vx? +,

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Q: (b) cos(x² + y²) dy dx where R is the region 9 < x² + y? < 49.

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Q: Fain the par hicul ar foluhion 4 DE . 9xy dy ; uh en x= 2,y=1 4xy° dy = 2y (1+ y?) dx ; when x- 2…

A: In this question we will use basic of calculus i.e contact of solution of differential equation. We…

Q: Evaluate the iterated integral. yz dx dz dy 45 в) 34 47/3 D) 5

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Q: u + c. Evaluate So (2x- y)3e dx dy with y = v, x= u-

A: To evaluate ∫02∫y22+y22x−y3eydxdy with y=v, x=u+v2.

Q: By algebraic substitution, the integral -dx is converted to: 4+. Vx 2ydy (A y+4 dy B y+4 y+4 D [vay…

A: Here is the solution

Q: What is P,(y) if the given DE is xydx – (3y – x²)dy = 0? %3D Select the correct response:

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Q: Given z = 15 In(t) and y = 225 t then find %3D dy dx d'y dr2

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Q: The DE: dY - 4xy +5y² xy + 3x? can be transformed into a seperable DE dx in x and z by using the…

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Q: (a) Let I = dx. Show that I² = dx dy. R2

A: Note: "Since you have asked multiple questions, we will solve the first question for you. If you…

Q: +! dy dx x dx A- If Z = d'y x dx x dx? Prove that Z.Z = xp -1% NI X

A: A Given Z=d2ydx2+1xdydx. We need to evaluate Z.Z. Consider Z.Z.…

Q: du Q. Show that du and dy for u = In Vx2 + y? %3D dy and v = tan

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Q: 2) Determine dz/dx and dz/dy for z* – y? + x² = 6x²y³z? %3D

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Q: Find dy du du dx dy when y and u are defined as follows. dx u = 3x - 9x² and y = √u

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Q: Given z = 8t – 18 and y= 64 sin t dy (i) da dy (ii) dx?

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Q: dy 3) Determine the of : In (ху?) %3D х у dx

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Q: Show that if y = cosx/x , then d^2y/dx^2 + 2dy/dx+ y = 0

A: y=cosxx Differentiating with respect to x, we get dydx=dcosxdx·x-dxdx·cosxx2…

Q: dy IS let y = (cos r)m " then de sin z

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Q: || (z, y) dy de = f(r,y) dx dy 0. Jo Jo O Tryc

A: Solution: The objective is to select the correct option

Q: Evaluate the iterated integral. dy dx -3 9 7 dy dx i -3

A: Double integration

Q: Evaluate xy dx + a*dy, where C is the rectangle with vertices (0,0), (2,0), (2,1), and (0,1)

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Q: dy if y = vt' -e' and x = dx Determine In(6t)

A: dy/dx = [7/2 t^5/2 - e^t] [ln(6t)]^2/ t^2 [3ln (6t) -1]

Q: Solve for if y- Ina 2- y?. da MCQ3.pdf dy 2y +1 dx dy 2y +1 dx dy dæ -(2y+1)x 1 dy (2y+ 1)a TERIRS…

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Q: Evaluate the double integral (1+ r² + y?)² dy dx

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Q: Is this 2-form exact? w = x dx A dy

A: Given that ω=xdx∧dy To check this  2-form is  exact or not.

Q: dz Given z = e* sin y,x u? + v2,y = uv, find - dv %3D %3D

A: Here I am attaching image so that you understand each and every step.

Q: dy B] If y = e" In(u) and u = V1-x2, Find dx

A: To find

Q: COS TTZ dz is - The value of integral Jc (z – 1) (z- 2) (z – 1) (z – 2) |

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Q: JS xy dA R: rectangle with vertices (0, 0), (0, 3), (5, 3), (5,0) 166xx 16 xy dx dy = xy dy dx =

A: The solution is given as

Q: @ Consider the DE, dx %3D dt x (2t -7) What meho can be uoed

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

Q: Show for Re(z) > 1 -dx = r(z) (2). et - 1

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Q: 4. Use Green's Theorem to evaluate | ay dx + (1 – ry) dy where C is shown below y (14) F1,2), (1.1)…

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Q: find the dy リ=(メ+z)mx, (xを when 3In X

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Q: SIT x y z dx dy dz Evaluate 0. O 3 0 4 0 1 O 2

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Q: Find dy/du, du/dx, and dy/dx when y and u are defined as follows. and u = Vx + 3 V = - dy du du dx 3…

A: Trigonometric identities: 1.d/dx(xn)=nxn-1 2.d/dx(constant)=0 3.d/dx(root x)=1/2root x And given y…

Q: Find dy/du, du/dx, and dy/dx when y and u are defined as follows. y= sqrt u U=7x-5x2

A: Given:

Q: Use Green's Theorem to evaluate |. (y? – 6y) dx + (y³ + 10y²) dy where C is shown below.

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Q: dx dy. Evaluate by changing the order 4y

A: In the given question we have to evaluate the integration                ∫01∫4yyex2dxdy by the…

Q: dy If y = e" In(u) and u = V1-x2, Find dx

A: y = eu ln(u)       and   u = 1-x2 dydx = ?