1.+y = (1+3x)y*

Q: Find y' if  y = ln(3x2 + 5y2).

A: we have to find the derivative of y

Q: 2 cosh x +losion2x = 5

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

Q: b. Evaluate for y if x = 2.3 and z = -1.5. Round to 2 decimal places. Y =

A: Given that: x=1+yyz

Q: 7. Use substitution to evaluate ſ 2x(4 – x²) dx.

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Q: 4 5 2 X -x.dx

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Q: 6 iven differentinl ....(1x) dx = 2x+y with (2*)

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Q: 5. S(-5x-6 + 10x-11 – 20x-21)(x-5 –x-10 + x-20)dx

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Q: (In /3)/3 24) З е3x dx 1+ ебх

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Q: In (ax-1)dx

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Q: S 2dx x(3(Inx)"+1지lnz-15)호 2 +13/nx-15)

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Q: dy (y2+In2)=-(23+) %3|

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Q: 2x +9 Find- , if y = dx x-5x+1

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Q: 3. 2y"" − 3y" – 3y² + 2y = (e*+ex)²

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Q: 11-x 1 S S S dydzdx 00 x+Z 2.

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Q: | (h(y) – 4)dy = 18 h(y) 9(y) 1 |dy 19 12 15 18 - 18 - 7g(y)dy = 1

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Q: IF y = u+ + 3u2 & u = 2x 64x3 + 30x 8x(8x2 – 3) الخيار رقم 1 خيار 3 Find dy dx 8x(8x2 + 3) 8x(8x3 +…

A: We can find the derivative as below.

Q: 11. (4+ t) dt 13. | – 5y) dy 15. (31² – 4t + 5) dt

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Q: (4) S xe*dx xe* + e* + c ex — хе* + с Option Option 2 хе* — ех + с Option 3

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Q: Differentiate. y = In [(x + 4)(3x- 2)(5 – x)] d In (x+ 4)(3x – 2)(5- x))] = || dx

A: We have, It is known that the derivative of ln(ax) is, and derivative of the function of u.v form…

Q: 32x ) dx In|xl + C 3 %3D - |- 3x. 2 In 3

A: let the missing term is Y

Q: 1 hy (x) 1+e-(-4 + 2¤1+ x2)

A:

Q: ex-4e-x ex 2 x-² / + C ex Option 1 dx 2 x + ² + C ex O Option 3 x+2 ex + C O Option 2 x-2e * +C O…

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Q: #1) Find for 7x³y5 = -8 dx

A: Let's find.

Q: 9. 23/2 3√x+1 - S dx

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Q: 2- Show that: -1 xb-1 In x dx b2

A: See the attachment

Q: 11-x 1 || | dydzdx 0 0 x+z

A: the given triple integral is: we have to evaluate the given triple integral.

Q: A. Homo geneous Higher Ordered LDE 1. (D5 - 1204 + 520D3 - 112D² + 192D - 256)y- O

A: Solution

Q: 4 ! 17) 8x In x dx

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Q: CV4-x2 4-x2-y2 1- o So Si s** ydzdydx Jx²+y2

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Q: Evaluate ·S dx 2 ²√x²-9

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Q: Find y' and y". y = x² In(9x) y' = x + 2x ln (9x) y" = 3+2 ln( 9x)

A: Given function is Differentiating with respect to x by using product rule of differentiation, we…

Q: .7 Evaluate ſ x³tan-1x dx.

A: The integral is given , ∫x3tan-1x dx. Solve the integral by integration by parts, ∫x3tan-1x…

Q: Evaluate S((x^-4) + (4x^2) - (8/x) + 3)dx

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Q: 5) Evaluate x2n-1e-kx² dx

A: Gamma Function: Γ(n)=∫0∞tn-1 e-t dt And Γ(n)=(n-1)!

Q: S(in 6x) dx x (In 6x)2 - 2x (In 6x) +c x (In 6x)2 - x (In 6x) + x + C <(In 6x)2 - 2x х (in 6x)2 + 2x…

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Q: 9. xy(1+xy2) = 1 Ans: + y² -2 =

A: The given ode is xy1+xy2dydx=1 which can be written as dxdy=xy+x2y3

Q: 7) (1+x²)dy+2.xrydx = 0

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Q: 6. (3zy-- 2ay") dx + (x2 - 2axy) dy = 0.

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Q: 4. √₁² √9-x² dx

A: The objective is to evaluate the integral ∫129-x2x4dx       Integration by parts: ∫fg'=fg-∫f'g,…

Q: In 2 e2x dx V1+ ex

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Q: 5. ²+²=2xy 6. 2x + 2y + 2y' + 1 = 0 dy dy 7.

A: Solution is here

Q: 21. 1dx dy -3

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Q: 4.x( (y' + In x)y'+y = 0

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: x- y = 2 2x +3y 9 Sx+y = 2 6. y = 8 2. (2x + y = 7 lx + 2y = 2 3 x + = 5 3x – 2y = -13 3. 1-6x +5y…

A: As per bartleby guideline for more than 1 question only 1st one is to be answered . Please upload…

Q: 8. (b)/2 -- xe dx

A: Integration using byparts: where u is the first function and dv is the second chosen using…

Q: 4 3x+2 dy %3D 2x-1 dx 12/09/2021 10: 00

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Q: 413 xdx X csc 2. (sec2/3 xcsc4/3

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Q: 11. (16D³ + 12D²2 – 1)y = 0 ; y(0) = 1, y'(0) = 0, y"(0) = –1

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Q: Compute x1+ x² dx 3

A: Given,           ∫01x1+x23dx