Using variable separable find the GS of dy 4x + ху? %3D dx y – x²y

Q: d Using the Chain Rule Twice Calculate 1+ Vx2 + 1. dx

A: Given function is 1+x2+1

Q: 1) f(x) = *+x*, r<1 x'+1 x21 df = ?, x1 dx a) f'(x) = %3! b) f'(1) = dx I = ?

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Q: number 3integration by tables and other integration techniques

A: For this integral, we will need by parts. So assume u and dv, then find du and v from there.

Q: The integrating factor of the given DE are already given below. What is the value of "n" ?…

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Q: Using S- dx x√√x-1 Rationalizing Sfy)dy, find ffy)dy Substitution

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Q: y)dx

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Q: 4 dx. x'V16-x (c) By using x= 4sin (0), find

A: We have to find integration by substitution

Q: Find the differential dy of the given function. (Use "dx" for dx.) y= 2 square root of x + 9 over…

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Q: (test for exactness) (2ysinxcosx - y + 2y²e*v¨ )dx = (x - sin'x - 4xyev" )dy %3D

A: Given DE is 2ysinxcosx-y+2y2exy2dx=x-sin2x-4xyexy2dy Test the exactness of the given DE.

Q: The integrating factor of the given DE are already given below. What is the value of “n”…

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Q: (e) y = (x³ + 1)² () y = (x² +5)³

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Q: cosh x dy + (sinh x)y = e-* dx

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Q: ay at the point (1, ). dx For the equation given below, evaluate x* + 9 - 6y dy at (1, 품) - ㅡ -- 61…

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Q: Integrating Factor by Formulas: (7) xy³dx + (x²y² + 1)dy = 0

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: ential equati x²y dy = C

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Q: cos s x dx 2. S: Vsin x

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Q: x3 for y = Differentiate. Find dx x-1

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Q: Linear Non-Homogenous – Variation of y" + 4y = cos 2x parameters

A: We need to use method of variation of parameters to solve  y''+4y=cos(2x)  General form of second…

Q: S sec x dx Use Integration by parts to solve

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Q: Integration by substitution -Find the antiderivative of the given derivative ds/dt= 8(3t^2-5)^3

A: Explanation of the solution is given below...

Q: dx using miscellaneous substitution will yield to secx + 1 nsforming - S 1+2 / dz √²-22² dz 1+z²…

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Q: Q3 using Euler method, find an approximate value of y corresponding to xe [0 - 0.7], dy Given = x(x…

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Q: Solve using Integrating Factor by Inspection. Show Complete Solution. y^2 ( 1 − x^2 ) dx + x ( x^2y…

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Q: 2 4) d?y |1+ () dx2 dx, Find the: Туре: Order: Linearity: Why?: Unknown Function: Independent…

A: Topic:- differential equations

Q: Question The approximation of fxln (x + 5) dx using two points Gaussian quadrature formula is:

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Q: 2) Integrate using trigonometric substitution (a) s dx 4- x² (b) S, dx Vx2- 9

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Q: 17 Given that f(x)dx : find 7 | f(2)dz = No decimal entries allowed.

A: We have to find

Q: dx Using Rationalizing Substitution S- -=Sf(y)dy, find ff(y)dy- X√√x-1

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Q: Using the Chain Rule Find dy/dx for y = (x2 + 1)3

A: Given, y=x2+13 We can write given function as, y=x2+12x2+1 Now by using the chain rule,

Q: 10. f (x, y) = 1 sec(xy) in(rv)

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Q: B. Using Change of Variables and Generalized Power Formula, integrate the following: 1. fx (x2 –…

A: Since we have multiple numbers of question and our guideline is solve first question and kindly…

Q: The integrating factor of the given DE are already given below. What is the value of "n"…

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Q: y (2x + y?) dx + x (y2 - x) dy = 0

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Q: dx : A) Find the integration:

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Q: x2 2. S dx 4-x2

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Q: y (x 2 + y 2 – 1) dx + x (x 2 + y 2 + 1) dy = 0

A: First find integration factor then solve Using formula

Q: 5.Integrating factor by Formula 2 (2y? + 5xy – 2y + 4) dx + x (2x + 2y – 1) dy = 0

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Q: X+3 Q4) Find the integration by using: dx J 2x3-8X

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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: Geberal solution of (3xy +3y - 4)dx+(x+1)²dy

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Q: e* sec (e* +1)dx tanle* +1

A: We need to evaluate ∫ex sec2(ex+1) dxtan(ex+1)                              (1) Let tan(ex+1) = t On…

Q: Evaluate∫x3√4−x2dx using (a) integration by parts (b) au-substitution (c) a trigonometric…

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Q: dy Find for x=secy dx A xsinx B D 1-x?

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Q: Use Leibniz's rule to find 히증 11 Textbook dx for y= 0 S 7x² 8t - dt. 8t+1 Ask my instructor

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Q: Find the differential dy of the given function. y = sqrt(9-x^2) dy =

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Q: 5) Approximate -dx 1 +: Using the Trapezoidal rule and Simpson's rule with h=1. Find an error in…

A: We have to use both numerical methods for 4 subintervals as h=1 and (b-a)=4.

Q: dy by implicit differentiation. dx E. Find 1 ー+ー=2 х у 1 x² +y? = xy 2. 1.

A: the process of finding the derivative of a dependent variable in an implicit function by…

Q: Using integrating factor, solve dy/dx + 4/x . y = x

A: topic. - differential equations

Q: dx 4. S x²Vx2-9

A: 4). Given: I=∫dxx2x2-9   ....(1)   As we know from the trigonometric identities; 1). cosx=1secx 2).…