dx J 9– (x + 1)²

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A: Given differential equation is xtanyx+ydx-xdy=0 This equation can be rewritten as,…

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Q: •Cx²+Jy'tuxy X y(2)21 use Rennoull EQ.

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Q: 20. Use u substitution to evaluate. S secrtant 1+secx dx

A: Evaluation of the indefinite integral by substitution method

Q: dx 3+ Vx+2 x +

A: Here we solve the given problem of integration.

Q: Queston1 use the Subititution Iy =u 9) (xy41) dx +2x²y=0,

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Q: Find Souution of ODE xy"+y't x²y 20

A: Given, the differential equation                  xy''+y'+x2y=0                 ...(1)

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Q: Use convolution to solve 4y' + y = cosh 3t, y(0) = 0.

A: The solution is given as

Q: Q. / Standx dx 3 None 2log|sec4x| + c 3 8log|sec4x| .+ c 3 2log|sec4x| + c 4

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Q: x² + 1 dz x +1 ,2

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Q: dx J 2.x² – 3x +9 Зх + 9

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Q: (a) By using the substitution, u = 1 + x*, or otherwise, find x3 -dx 1+ x4

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Q: Find for all of : dx 1- y = xvInx x(x-2) x²+1 2- y =

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Q: dx √x²-4x+13 S.

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Q: Q.1A) Evaluate 2 (4-x*) 4 cosy dydx 4-y

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Q: dx i let x-= 4X-X2

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A: I have used method of substitutions

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Q: dx is using algebraic substitution technique . The only solution to evaluate 3+ A True В False

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Q: y'(t) = In(y- 3) %3D

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Q: Q2\ find when y = dx x²-1

A: y=xx2-1⇒y=x12x2-1⇒y=x1212x2-1⇒y=x14x2-1

Q: Solve equatian. the differentiql dy = 80-2y * Such that y=70 when x=0

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Q: dy 5x+4 Use 4-step rule to find given that y dx 2х-3

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Q: dy (B) Find -, if dx 3x2 + 2x 2 Y = (- when x = 1 5

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Q: Eactor of (xy? +

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Q: dy Differentiate implicitly to find 6 5 3) x y+9x = 6y +4 dy

A: A detailed solution is given below

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A: see 2nd step

Q: Use implicitdifferentiation to finddy/dxfor x - y2 = 3.

A: Given: x-y2=3 To determine: dydxusing implicit differentiation.

Q: 4х-6 -dx х2-8х+20

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Q: (d) y" + 2y' + y = 8 cosh x.

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Q: dy of y3Dx dr Find csc2r,

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Q: dx メ+Vaxt) dx |-x2

A: Given

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Q: is Substitute for +4 X = 2tano and dx= 2 Secodo %3D

A: Given integral is ∫x3x2+4dx Substitute for x=2tanθdx=2sec2θdθ

Q: dx 2 x + : P14 25.

A: Find the value of the integral.

Q: Chioma was asked to find (18x + 3)(6x° + 3x)° dx using u-substitution. How should Chioma define u?…

A: ∫(18x2 + 3)(6x3 + 3x)6dx We have to use u-substitution for the above function. To solve this, u is…

Q: dx Use a trig substitution to evaluate x³ Vx² x > 1. 1 6. -

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Q: Q4. Calculate div F where F = grad(x' + y³ + z³ - 3xyz).

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Q: Use the trapezoidal rule to evaluate ,2 2х dx % x² +1

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Q: (D + 3D + 2)y = xsin 2x

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Q: . lim 4y9 + V y--00 /y18 – 1

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Q: 91 182x-x2 9V x²+y² dydx %3D

A: Here we solve double integration problem.

Q: find the me value of funchio fix.y) = Sn+ 1y %3D 2n+y32

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Q: 2r+3, x<I f (x) dx if ƒ (x) = 5, Evaluate

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Q: x ER that satisfy the

A: As per the bartleby guidelines for more than one question only one has to be solved. Please upload…

Q: Express (2xy + 2x – 1) – (x² – y² – 2y)i in terms of z & Z then simplify.

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Q: Find 1- y dy y+2 using the substitutionu +5= √√y+2.

A: