If y = f(x) is the solution of y" – 8y' + 16y = e5z, f(0) = 1, f'(0) = 5, then %3D Lütfen birini seçin: O a. All the previous answers are not correct. O b. f(1) = e3 c. f(1) = ev O d. f(1) = e O e f(1) = e

Q: If y = f(x) is the solution of y"a? + 4y" = 2xy' + 4x, f(0) = 0, f'(0) = 2, then %3D Lütfen birini…

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Q: Find the particular solution of y (1+2 In?2) dx + xdy = 0 y(e) = e.

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Q: Suppose b is changed to b' . How large a relative change can this change produce in the solution to…

A: Given,           A=1010109 , b=100101 and b=10099.

Q: O A.Y1 = x and y %3D O B. None of them

A: Given differential equation is: x2y"-4xy'+6y=0 Let us consider, y=x3 Then we get, y'=dydx=3x2…

Q: 2 x - 1 [1 1 If A =|-3 2 and D = A + B and d,2 = -1,d31 = 2 then 1] B = y 4 Ly

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Q: If y = f(x) is the solution of (-x - 9)dx + (x2 + 10x + 41)dy = 0, f(0) = In(41) + arctan(5/4), then…

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Q: Which of the following is a solution to xy" + y' = 0 ? y = = 1 y = x3-x O A y = In x %| O D В

A: A function y = f(x) is said to be solution of the given equation  xy" + y' = 0  ...(1) if  y = f(x)…

Q: Determine the particular solution1 1. (2-r) dr=rsin 0 de; when 0 0 and r 1

A: The given differential equation is 2-r2dr=r2sinθdθ. Rewrite the above differential equation as…

Q: If f(x)dx = 5, S()dx = 2, and f(x) dx = -1, find f(x)dx а. —2 b. 2 С. —3 d. 3

A: Given ∫05f(x)dx=5,  ∫13f(x)dx=2, and ∫10f(x)dx=-1 The objective is to find ∫35f(x)dx

Q: Determine if y(x) = e-3x is a solution of y" + 3 y' = 4y

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Q: dy = VE+y-1 de

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Q: If yo is the particular solution of dy 4x°y, y(0) = 3, %3D %3D dx find the value of yo(2).

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Q: 3:30 A3. If y = e2x+5 then y' = %3D LA) 2e2x+5 (b) e2x+5 (c) 5e2x+5 (d) e2

A: Given query is to find the derivative of the expression.

Q: 1 Separate variables to find a solution a. yy' +36x=0 b. y'=1+4y², y(1) = 0

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Q: If y = f(x) is the solution of y" - 10y' + 25y = e, f(0) = 1, f'(0) = 4, then Lütfen birini seçin: O…

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Q: If y = e5t is a solution to y" + k y' - 20y 0, what is the value of k? %3D (а) 1 (b) -9 (c) -1 (d)…

A: given that                                                       y=e5t we have to find value of k…

Q: (D² + 4D + 4)y=0 when x = 0, y = 1 and y = -1

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Q: (0) = 2 is

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Q: The question is in the picture below.

A: (23) Given differential equation is y'+xy=xy−1....1 and y0=3. We have to find the general solution…

Q: Suppose a company that makes lava lamps is trying to determine how to increase profit.  They find…

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Q: The solution to the DE y' + 4y = e-4t; y(0) = 2 may be expressed as y = teat+ beat; find b-a.

A: The given differential equation is          y' + 4y = e-4t   . . . . . . . . . . (1)  The homogenous…

Q: For the difference equation given by y(k + 1) + y(k) = 3 (1/2)k with y(0) = 1 %3D Find the…

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Q: 16 when x = 2, find x when y = 80. %3D 2. If y varies indirectly with x and y = O 32 O 4 2 |15

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Q: dy The general solution for y) dx OA. y = c1+ Cze* В. x. y = C1+ C2e* y = e* + 1 D. y = C1x+ c2

A: Given differential equation is d2ydx2-dydx=0 The given equation can be written as D2-Dy=0 Where…

Q: 2xdy + y(2 + xy²)dx = 0 %3D 1 when x = 1 & y= 2

A: Given equation is 2xdy+y(2+xy2)dx=0 and y(1)=1/2

Q: What is the solution of the differential equation 2a°y' = y(y? + 3x?) ? O a. z? = y°(c - y) O b. x?…

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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.