Differentiate. 3 3 y= Vx + 12x +4 -x y' D

Q: find d^2y/dx^2 ysin(x^2)=xsin(y^2)

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Q: Evaluate (2x - y) dx + (x + 9y) dy. C: x-axis from (0, 0) to (0, -9) and (0, -9) to (4, -9)

A: Solution :-

Q: 1. у%3D х3 — 2x2 + 3х — 5 y = 3 — 2х2 + 3х — 5 dy — Зx2 — 4х + 3 dx

A: Given: y=x3-2x2+3x-5

Q: 1.S (3x5 – 2x – 5x – 3) dx 2.5 (y? – 1) (3+2y) dy 3.S V + 5VX³ dx

A: Dear student. Since you have posted many sub-parts, in our policy, i have answering the first…

Q: 3) S x tari'x dx X,

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Q: 7. 5d'y. dx dx -6x , y(0) =0, y(0)=-10

A: A differential equation is an equation that involves derivatives or differential coefficients or…

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: 7.5- yy - 9 4+9) dy -6- 8.S 1 dx e2x+ e-2x

A:

Q: Evaluate | (2x - y) dx + (x + 7y) dy. C: x-axis from (0, 0) to (0, -7) and (0, -7) to (3, -7)

A:

Q: 6. f(x, y) dx dy

A: Double integration and area of integration

Q: 4. (-3x+2y) dy + (-3y + 2x) dx = 0; y(3)=8. Determine y(5).

A: The solution is given in the next step.

Q: 2. HOMOGENEOUS COEFFICENT: x'dy+(2xy – y kix = 0

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Q: 3t y" – 3y' – 4y = e|variationof parameters

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Q: Evaluate Ic (2x - y) dx + (x + 7y) dy. C: x-axis from (0, 0) to (0, -7) and (0, -7) to (9, -7)

A: The objective is to evaluate the integral ∫c (2x-y)dx+(x+7y)dy, where c compromises of two paths,…

Q: 9. (3x – y + 6)dx + (6x – 2y – 6)dy = 0 hint: Case 1 %3D

A: Given

Q: Evaluate (2x - y) dx + (x + 7y) dy. C: x-axis from (0, 0) to (0, -7) and (0, -7) to (3, -7) 21

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Q: 2. (2x + 4y -3) dy + (x + 2y -1) dx = 0; y(2) = 5. Determine y(3)

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Q: dy 2ty(y - 1) dt 3(1 + P):

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Q: 5. (2x – y) dx + (4x + y – 6) dy = 0.

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Q: Evaluate (2x - y) dx + (x + 5y) dy. C: x-axis from (0, 0) to (0, -5) and (0, -5) to (7,-5)

A: The given integral is ∫C2x-y dx+x+5y dy where C is the line from 0,0 to  0,-5 and  0,-5 to 7,-5. To…

Q: 2. ( 3 x - 3 y - 2) dx - (x - y + 1) dy = 0

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Q: 3.6 4- x dy +y dx =xg°dx

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Q: Evaluate (2x - y) dx + (x + 5y) dy. C: x-axis from (0, 0) to (0, -5) and (0, -5) to (5, -5)

A: The objective of the question is evaluate the definite integral.

Q: Solve the differential equation

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

Q: 3y 6. S dy y-3 7. SVIV7+xVx dx 8. S dr V1+r3

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Q: 2.2 dx + 2X dy = 2x°y°dy y

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Q: 2. S dx exte-x 3. fx sec² x dx 4. esinx cos x dx

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Q: 6) а. Find dx if y%3 (n(x + Aj) - А2 х) (/5 В, - 7х) А131 A2=5 В1-4 B2=6 В3-2 DA-1

A: The given function is y = [ln (x + A1) – A2 x] (√5B1 – 7x). The given values are A1 = 1, A2 = 5 and…

Q: 1) CSc y di + secx dy =0 CSC y Y.

A: Given query is to solve the differential equation.

Q: 2. (2x+4y-3) dy + (x+2y-1) dx = 0; y(2) = 5. Determine y(3).

A:

Q: 3 メ=3tL 2. dt 2. dyt d x

A: x and y are function of t we have to find out the first derivative and second derivative for the…

Q: 5/xy dy -2, х, у» 0 dx y =

A: See the details solution in below

Q: 7. [(4cosx+3sin.x)*dx 8. ſcos°(3y)dy 1 (у-5)3 v – 5)³ 9. -dy 7 y3 (3 – 2 cscx)² 10. cotx

A: Integrate above function.

Q: 3. (z + ye/")dx – ze/*dy = 0; y(1) = 0

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

Q: 4) = dy dx sec(x+ y) 2т-2у+1 5) y' = x-y

A: We will use  substitution method

Q: 4. (-3x + 2y) dy + (-3y + 2x) dx = 0; y(3)=8. Determine y(5).

A: Given that -3x+2ydy+-3y+2xdx = 0 where y3 = 8. The objective of the problem is to determine y5. We…

Q: y 3D 1 y = secxtanx; y

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Q: 2 ГБА 0 4 - x - y dy dx

A: ∫01 ∫024-x-y dydx

Q: Solve by separation of variables (y +1)dy dx+x(y^2 +2y)= x.

A:

Q: Evaluate √ (2x - y) dx + (x + 7y) dy. C: x-axis from (0, 0) to (0, -7) and (0, -7) to (3, -7)

A: Let's find.

Q: Evaluate (2x - y) dx + (x + 3y) dy. C: x-axis from (0, 0) to (0, -3) and (0, -3) to (8, -3)

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Q: 7. (2x-y)dx+x dy = 0 Ans x+=c

A: Given problem:- solve (2x2-y) dx+xdy=0

Q: Salve 6y"o)-5y'Lx)+Yx)= esinx+ cos2X with

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Q: 14-2x 1. ! ] dydx 0 2 2. dxdy 0 y 11-r 3. dycx o 1-x 4. [[ dydx 0 0

A: Answer 1: changing dy dx to dx dy; limits of integration: 0 ≤ x ≤  [2 - (y/2)] 2 ≤ y ≤ 4

Q: .1 S S, x(x² + y²)²/3dydx

A:

Q: Evaluate / (2x - y) dx + (x + 5y) dy. C: x-axis from (0, 0) to (0, -5) and (0, -5) to (7, -5)

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Q: dv 9. S- V3v-2a 10. S(5 – 3y)*dy

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Q: dy 2 = 3, ,3 X'y' - xy dx

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Q: 26. x = 2y, y(1) = 5 dy

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Q: Evaluate (2x - y) dx + (x + 3y) dy. C: x-axis from (0, 0) to (0, -3) and (0, -3) to (4, -3)

A: To solve the given line integral.