Y.マy+12Y-2é, y)=3.5 ,y--lo 3も %3D

Q: y' + 2y = e*,

A: Note: Since you asked multiple questions, I solved first one if you want answer of other questions…

Q: у" — бу' + 9у %3 t'e", y(0) 3D 2, У (0) 3D 17

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Q: 31x dy-y- -y salve thedifferen tial xP Equation

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Q: The numerical value of [² ['ze'dxdy 0 3/2 2e dxdy is equal to ....

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Q: Evaluate: ³²₁₂[z³(x + y)³] dz dy dx

A: Given, ∫-43∫-12∫01z3x+y3dzdydx

Q: If dy/dx= 5y+2 and y(0)= 3. What is the value of x when y=2?

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Q: dy 4. a2+ y? = ry (Bernoulli DE) dx

A: Answer and explanation is given below..

Q: •3 fx(2-x) 10. dy dx 0. r2VIn 3 VIn 3 35. •VIn 3 et dx dy

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

Q: Integrate the FF 2) dv Y Cy+z2)

A: We will integrate function of V=v w.r.t. v and function of y w.r.t. y and

Q: (b) y = u4 and u = 9x2 – x + 7 dy du 4u³ ,3 du 18x – 1 dx dy dx &x(9x² – x + 7)³ × II

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Q: seclyltun Cy) -csc?(y!dy

A: Use formulas of integration to evaluate the given.

Q: (c) S, y*/1- y² dy

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Q: Evaluate: xyze-(a+y+z) dxdydz 0.

A: The given problem is from the calculus and subcategory triple integration here in the given question…

Q: 4) 8r dz dy dr

A: Solve the triple integral

Q: 16 d :| (2V8– 1) dt da. valuate dr. dx 5.

A: We have evaluate to the given expression

Q: y" + ay' t sy = g e-2^ + 8 %3D ylo) ay'6o) =

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Q: Resuelva yDx - 2(x+y) Dy=0 O x² + 2y = cy² Ox+2=cy² O x + 2y = cy² Ox+2y=c

A: Given differential equation y D x-2(x+y) D y=0 The objective is to solve the differential equation.

Q: Solve by integrating factor by inspection: * 2ydx – 3xy dx – xdy = 0 - x' +x*y = c x³ + x²y² = c…

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Q: -dy (49 – y2 )

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Q: If z = 3x2 + y² and (x, y) changes from (1, 3) to (1.05, 2.9), compare the values of Az and dz.…

A: Given, (x,y) changes from (1,3) to (1.05, 2.9) f(x,y) = z = 3x² +y²

Q: If z = x2 - xy + 3y2 and (x, y) changes from (3, -1) to (2.96, -1.05), compare the values of Az and…

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Q: If 4 = 2 – 2x – y + 3, y(0) = -1, then y(-6) %3D dx

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

Q: If f(x) dx = 3 and f(x) dx = 4 what is the value of %3D 5f(x) dx?

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Q: S Si e** (y + 6x²y)dxdy =?

A: According to the given information it is required calculate the integral

Q: In(y) dy V. 6.

A: This is a problem related to integral by parts. Based on the general formula of integral by parts we…

Q: dy dt = y(у — 4)(у — 8), до 20

A: see my solution

Q: •3 2ye dx dy y? Evaluate

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Q: L,S, S yz tan xdxdzdy -1 J2y

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Q: 5) Зхуdy %3D ху?dy — ydx + 3dx

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Q: 7. y Vzy dz + dy = 0

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Q: S (3x – 2)²dx

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Q: dw if Find = x* - xy+ y b) wax?-xy*; x-e* )3メーメ ; ×=t° X = e y=cost ?

A: I have given an answer in step 2.

Q: Find formulas for dy and Ay if y = 7x – 7. %3D - dy = Ay =

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Q: d. {(x, y)| y = 3x – 8} {cx, y)ly = } x+3 е. %3D x-5

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Q: Evaluate dz dy dr. y +z

A: The given integral is ∫12∫x3∫0yyy+z dz dy dx . This is a triple integral. Triple integral is used to…

Q: If dy = ( 2x – 3 ) dx and y = 2 when x = 3 , find the value of y when x=5.

A: dy = (2x - 3)dx Integrate both sides w.r.t x to get: y = x2 - 3x + C where C is the constant of…

Q: 4. Calculate | (6x? + 2ry + 3y?) dx dy.

A: Proceed as shown...

Q: ,5. For y = 3x° - 9x° + 2x, find dx %3D dx 5

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Q: Evaluate , Sd-2, r2(1-z) dy dx dz

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Q: 3 2x y°e*dydx

A: To Evaluate the integral given below:-I=∫02∫04[y3e2x]dy dx-(i)Computing the definite…

Q: S sec? (3 – 2t)dt

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Q: a) Let y" + xy' + y = 0 be given. Why does the approach y(x) := e^× does not work?

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Q: 3 Evaluate: (4x²yz - z dz dy dx 24

A: The integration of the triple integral is (4x2yz-z4/4), z from 0 to 1, y from -1 to 4, x from 2 to…

Q: dy 16x 3 If x° + 3 + y° = 8 then show that dx? %3D y5

A: Given: x3 +y3 = 8 To show: d2ydx2 = -16xy5

Q: L,x – x*) dx = ²

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Q: d²y dy +y=1²-2t +3 4- dt? dt

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Q: Differentiate. y= In |3x-5x dy xp

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Q: 4–x? c1-a²-y² x dz dy dx = -7+x?+y?

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Q: Figure 2: 4. x 54% 5. mLZ 5. Z- Y 6. mLY

A: