See the attached file (9 t2 and t = v2x + 1 dy 9- Find ify dx t2+1 dy 2 A) dx 4(x-1)2 dx 2(x-1) dy 1 %3D dx (x-1)2

Q: So S zy dy dx 4 c2 1 Show all steps to evaluate by hand: Vx 2y3+1

A: We have to evaluate the integral                                                    ∫04∫x212y3+1dydx

Q: Suppose y = v2x + 1, where x and y are functions of t. dx = 9, find dt dy (а) If when x = 4. dt dy…

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Q: 20) Let y=7x+5x Then compute dy and Ay for X= -7 and dx =0.4. dy =? and Ay = ? Gounded 6o 4 decimal…

A: Derivative: - The derivative of the function is the equation that we find. The instantaneous rate of…

Q: Find dy/dæ in terms of t if x =t – t°, y = 2+ 4t dy/dx =

A: The differentiation of parametric form of functions can be done by using the formula,

Q: Compare dy and Ay for y =-2x*+ 2 at x = 1 with Ax = dx =-0.08. Give your answers to four decimal…

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Q: By algebraic substitution, the integral - dx dx is converted to: 4+x 2ydy (A y+4

A: Option a is the correction and other option does not satisfy the given conditions

Q: Evaluate the double integral : 2 e2y+a dy dx

A: In double intregation, first evaluate with dy and then evaluate integral with respect to dx

Q: dy Find at t = a where dt 1 7. у %3D = 3s + 2 and s t2 when a =1. + 4

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Q: A particular solution of 4x² dy dx dy 4 is vx +8.x- +y = de

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Q: Given dy dy dz² +2 + 5y = e dr and y(0) = 0 and = 0 find the value of y(0.1) and y'(0.1) using the…

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Q: for y = u dx dy 3/2 and u = 4x + 5 using the chain rule formula dy dy du Compute %3D dx du dx

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Q: 1. If y = V6x + 1, then what is Y? dy? %3D dx dy a. 2(6x – 1) 3(6x + 1)7 2(6x + 1) dy С. dx %3D %3D…

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Q: Use the attached equation to find  dy/dx for this: 5tan−1(x2y) = x + xy2

A: Given, 5tan−1(x2y) = x + xy2

Q: Given z = 3 In(t) and y = 9t then find dy dx dy dx2 |3|

A: givenx=3lnt,y=9t2

Q: Evaluate the integral VI- 1 /1 dy dx. – x² – y2

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Q: Given : 6x³e** +3 dx. Using integration by parts (S udv = uv - f vdu) and letting u = f(x), dv =…

A: Given,           ∫6x3ex2+3dx

Q: Express the general solution of dy/dx = 1+ 2xy in terms of the error function erf(4) = dt.

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Q: Which of the following is the antiderivative of S ) dx? xVx+1 Vx+1-1 + C Vx+1- a. In c. In + x…

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Q: Suppose y = v2x + 1, where x and y are functions of t. dx = 6, find dt dy when x = 4. dt (a) If dy…

A: Given y=2x+1 dydx=dydtdxdt

Q: Which of the following uses integration by parts? (1) fxcosx'dx (3) fxlnx Inx d (2) fxe"dx (4) A (2)…

A: We have to find out

Q: Given the non exact DE y(8x-9y)dx+2x(x- 3v)dv=0. find f(x).

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Q: Tind dʻz of z- In (xy) Find d²z z - In (xy)

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Q: 4. Use Green's Theorem to evaluate | xy dx + (1 – xy°) dy where C is shown C below. y (1,4) (-1,2)…

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Q: Classify the following DE as Linear or Non-linear. 1. d'y +5 dy + бу 3D 0 dx2 dx 2. + x2. dx4 d'y…

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Q: Label each of the following as linear, separable, or both; dy – 3x? – y dx dy 5y3 = 0 - dx dy + 3x?y…

A: A differential equation is linear only if it satisfies the conditions below. The degree of the…

Q: Evaluate dy/dt for the following: y3=2x4+6; dx/dt=2, x=1, y=2

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Q: 5. Evaluateſ, x²y dx + xy² dy where C is given by: r(t) - 3t v(t) – et 0<t< 1

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Q: Determine which of the following is exact. A. 2xy dx + (1+ x²) dy = 0 B. 2xy dx + (1+ x³) dy = 0 C.…

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Q: Given : S 6x³e*+3 dx. Using integration by parts (S udv = uv – f vdu) and letting u = f(x), dv =…

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Q: Given x = 8 In(t) and y = 64 t² then find dy %3| dx d²y %3D dx? ||

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Q: Given y=u^3−u+1 and u=1−x/1+x​, find dy/dx​ at x=0

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Q: Suppose that n # 0 and n # 1. Show that the sub- stitution v = y!-" transforms the Bernoulli…

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Q: The integrating factor of the linear DE dy + 5y = -9 cos x, dx is the function H(2) = e 5z Select…

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Q: Apply the appropriate integration techniques to evaluate 9x? dx S- а. b. fxsin dr. 2 c. f(2x – 8)°dx…

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Q: hich of the following is not variable separable? (А) 2ху dx + (х2 + 1) dy %3D0 A ye' dy - (e-y+…

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Q: See the attached file (6 dy t2 ify dx and t = v2x +1 t2+1 6- Find dy A) dx 4(x-1)2 dy 2 B) dx %3D…

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Q: Which of the following first order is linear? A. (-) == ex dy dx x dy B. (²x) ( 1 ) 4x² = ²1/ex dx x…

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Q: By algebraic substitution, the integral - dx dx is converted to: 4+Vx 2 dy A y+4 2ydy B У+4 ydy (C)…

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Q: By algebraic substitution, the integral dx dx is converted to: 4+Vx dy y+4 2 dy y+4 ydy y+4 2ydy y+4

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Q: (e) The characteristics of uzzt Uyy = 0 are given by: (B) %3D dy dy = -1 and dx dy = 1 (A) dx = -1…

A: This is a problem of partial differentiation.

Q: In each of the following evaluate dy/dx, when x = 2 using Four- Step Rule 1. y (x+a )³ %3D 2. y = 2-…

A: Here, we are going to solve only one question and for the remaining question please post the…

Q: Put the following equation in separated form, do not integrate. dy а. x² y-4y dy с. dx = sec (y)e*-y…

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Q: Find the particular antiderivative that satisfies the following conditions: dy 4x-2 + 2x-1 - 7; dx…

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Q: When reduced to a linear DE of order one in z, the Bernoulli's equation dy +y dx = 3x?y? becomes dz…

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Q: Find the specific antiderivative that satisfies the following conditions: dy = 3x dx -2 + 6x - 7;…

A: Given Data: Differential equation: dydx=3x-2+6x-1-7 ......(1) Condition: y(1)=8   The antiderivative…

Q: OBTAIN THE GENERAL SOLUTION 2. dx: t (1+e?) see" x dt 3. x dx - Ja - x² dy =0

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Q: Supply the missing integrand and the limits of integration (dx dy _dy ху y e'dy -1 ® /' (e -1)dy -1…

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Q: Use the three-point Gauss-Legendre formula to evaluate the integral dx Ső (2x + 1)²

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Q: Reduce the linear DE (2xy+x2+x*)dx- (1+x?)dy=D0 to standard form dy + yP(x) = Q(x). dx dy A)…

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Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.