-8 dx c – 2)(x² + 4) an upper-case "C" for the constant of integration.

Q: Find the value of the constant C for which the integral 3 3C dx x + 25 X + 5 converges. C =

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Q: What could be an integrating factor in solving the differential equat (х2 — 4у — у? — 1)dx + 2x(у +…

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Q: Q9/ find the integration ſe^( (2x) ^3-1) x2 dx? * 1 а- 6. e2x* -1+c 1 b- e2x3 +C 1 .2x3–1+

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Q: 3. Evaluate: 12x dx (a) J2 2-1)* (b) F sin 20 de o cos 20 (c) L1; x2 dx -1 x+2 (d) S, 2x Vx2 + 2 dx

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Q: The particular integral of the differential equation(D +5)(D – 5)y= secx - tan?x is -1 -1 10 1 25 1…

A: Given differential equation is  D+5D-5y=sec2x-tan2x y=sec2x-tan2xD+5D-5 Particular integral of the…

Q: (2a+1) 5. S -dx (z+2)*(x–1)*

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Q: S(2- sec2x) elmale sec³x sec(3A – x) e ln (xle) What should be the value of A for dr to be…

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Q: Q1 It represents the integration factor of the equation y (2xy +1)dx +x (1 + 2xy -x'y')dy = 0 a Jas…

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Q: Q1. Solve the IVP by finding appropriate integrating factor an (x² + y² – 5)dx – (y + xy)dx = 0,…

A: Consider the given differential equation Mdx+Ndy=0 The equation is exact if ∂M∂y=∂N∂x The solution…

Q: So SAF+1° y¹/3 x7 +1 (Hint: Change the order of integration to dy dx.) Y dx dy.

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Q: Find the general solution of the differential equation. (Use C for the constant of integration. dy…

A: To determine the general solution of the differential equation.

Q: Solve the differential equatons (7x-ty +16) dy + (2x-5y+12) dx=o when x-3, y= 2

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Q: A: Compute dy at (2, 1) where y = xcos2x dx B: Solve for x: a2 (y³ + vx-4 +y sin2x) < 4cos2r Тдхду…

A: Please see the answer below.

Q: x'e* cos 3xdx + -dy = 0 Vỹ - 1 %3D

A: In this question, we solve the separable differential equation by direct integral. the differential…

Q: The integrating factor of dx dy 2 y= 3x² is а. b. 1 x С. d. 1

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Q: Q2: Find the integration by applying substitution method: 7 dX (X - 1)VX- 2x - 48

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Q: What is the integrating factor of 2 (y – 4x²) dx + ædy = 0? | Oe O 2r

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Q: (2? – 4)dy + (6x – 2xy)dx = 0 |– In x2- , where C is a constant of integration.

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Q: Sin²y dy V1 -x, given that y(-3) = 0. dx 2) Snow that the general solution for (x2 +x-6)dy = 4y dx…

A: Given that  The following differential equations

Q: -1 2x Evaluate the integral dx = 0 x*+1

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Q: Q1/ Evaluate the integral: -За (2уах 3a dy dx x2 4a by changing the order of integration.

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Q: f1-p, 01 Solve the integral equation F(x) cos px dx Hence deduce that Sin dt 2

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Q: d'y Find the particular integral solution of dx - =x+3cosx+e". dx

A: I am using the formula for constant coefficient

Q: 2x+5 dx = AV7– 6x – x² + B sin-² (***) + C (where C is the constant of integration), then the…

A: Given: 1)  I=∫2x+57−6x−x2dx=?2)  limn→∞{nsin(2π3n).cos(2π3n)}=?

Q: (x²y)dx + (x³ + 2y³)dy = 0 ||

A: According to the given information, it is required to solve the differential equation using…

Q: Find an integrating factor of the form x" ym and solve 93 dx 6x) (3y- dy 2x

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Q: d’y Find the particular integral solution of dx dy =x+3 cosx+e-*. dx

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Q: dy Зу (x + 1)+ dx x+1 2.

A: First i i have find the integrating factor and the general solution.

Q: Q₂) Compute Z² dz along the straight line from (0) to (4 + 4i), then verify your result by using…

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Q: A. Integration by parts i) (3t +t²) sin(2t) dt

A: since u have asked multiple question in a single request so we will be answering only first question

Q: 5. The integration form of , XY dA where Dis the portion of x+Y = 2 in the 1" quadrant will be

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Q: 4. Using homogenous D.E approach, solve (x³ – Зху?)dx %3D (у3 — 3x2у)dy. (v³ – 3x²y)dy. | 2 (ardai…

A: The given differential equation is; (x3-3xy2)dx=(y3-3x2y)dy.

Q: 2-r Change the order of integration and hence evaluate dy dx 2 + y?

A: To solve this problem. first find the region of integration by drawing the region and then change…

Q: dr2 dx dx d²y, 7 dy , 9y 3. dr2 dy =1 at x = 1. dx = 0; y = 0 and x dx x2 4. Use the method of…

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Q: 3 x2 Calculate the integral: dx V5 + a?

A: Given,          ∫3x25+x2dx

Q: 3. Show that the DE is not exact, determine the integrating factor, make it exact and solve. a. (2y…

A: The given differential equation is…

Q: The

A: This is Linear Differential equation in x. We use method of separation of variables.

Q: (x^2+y^2+1)dx+x(x-2y)dy=0. Solve using integration by INSPECTION

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Q: Q#2: Find the Numerical Integration of Jo xe2*dx with 1 step size.

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Q: The value of the integral 1 2 x²y° dy dx is: 2..3 1

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Q: Q4: Find the value of integral 1 1 1. 1+x4 1 V1–x²dx 1 cos(x + 1) dx 2. 3.

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Q: #@3 g (x1y) =- 7x3 -49xy + 7y3 Find and elassify all the extrema of the fine tion

A: Given- gx,y=7x3-49xy+7y3 To Find- All the extrema of the above function. Concept Used- Using the…

Q: Q3)-(A) Solve the following simultaneous equations: dx 4t +x-y= cos(5) dt Int dx t -x +t == Int dt…

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Q: -2x 11/E valuate the integral 2 é V1-

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Q: Q2: Find the double integration ff (4x + 2)dydx D={(x,y):0<x<2,xẻ<y<2x}

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Q: The Particular Integral of the differential equation (D³ + 10D² + 7)y= 8x is PI = 7 8x 8x+x-3 O PI =…

A: Explanation of the answer is as follows

Q: d'y dy -2x Find the particular integral solution of -4 = x +3 cos x+ e. dx dx

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Q: Solve the homogenous DE Solve: xy dx - (x + 2y)^2 dy = 0.

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Q: Determine the constant of integration of f (x) = S (15z* – 3x²) dæ if ƒ (1) = 4?

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