1-find the value of z and x, 2- find (A") + d* (x². e3*) 3- find (A+ 3 lm 3), 4- 2A*A", 2r + Z+ y= 2 Z+ 47 = ln1 x + 2y – 27 = 4

Q: x²+1 Find J+3x+1 11.

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A: The given differential equation is  (3y" + y' - 14)= 3*13e26x - 78

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Q: 9. f²-2x(3x - 1) dx

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A: Let's find.

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A: Integrate the given double integration in given order. First Integrate with respect to y and than…

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Q: 96, a0ose -bsine =0 a'simo +baose asimo-baose Then,

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Q: Solve for the general solution of the given DE: O y = (-6 + ce^(-x^2/4))^2 O y = (-6 +…

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Q: 23. (1.4) Solve y +2 = (4x + 2y + 6)-'e2«+v+3.

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Q: Determine the particular solution of the ODE y” + lnx = -1 a. (-0.5 * lnx) + 0.25x b. (0.5x^2 * lnx)…

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Q: Solve for x in the equation 3* + 9* = 27* What is the sum of the coefficient of (x + y −z)8 What…

A: Note that, according to Bartleby guidelines, we can answer only the first question in the case of…

Q: Find y'' for y = 5x +4. 25x2 y'= - O A. 2 (5x? +4) 1 y" = O B. 4 (5x2 + 4) 20 y" = OC. (5x? + 4)…

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Q: Find y'. y=x V6x - 1

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Q: 215tandx= Q2 2x+ 1

A: Given: 1) ∫tan-1xdx2) ∫2x3+1x4+2x+1dx

Q: 5. S(e2r – e-2r)²dr S(e?r -2т е 2х 6. S dx 4-Зе2х

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Q: X-yi/x2+y2=1/(1+xi)(3+i)

A: Given

Q: FOR THE EQUATION, Y- 3n-n (2%,+Z2+.+Z,)+3^-(n-1"(22.+Xz+...+Zn-1)+.+3m-(2=1) +Xa t...+Xn - 3 FIND…

A: As per the question we are given an expression for Y in terms of x1 , x2 , ... , xn , n > 0  And…

Q: 1 ۔ x3 +8 X + 2 t3 dx

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Q: 2. 2 4 (xクノー→0ノ0) X'+3y"

A: Find the value of the limit of lim(x,y)→(0,0)x2y2x4+3y4. Suppose that the (x,y) approaches to (0,0)…

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A: Evaluating the integral

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.