11. What is the general solution of (2a-y)dx + (4x +y-6)dy 0 (a + y- 3) = c(2a+y-4)2 (x - y + 3) = c(2a +y-4) O Option 1 Option 2 (a- y- 3) = c(2r -y-4) (a+y-3) = c(x+ 2y- 4)

Q: Obtain the general solution. (D² + 1)y= secx O y= C,cosx+ C2sinx + xsinx - cosxln|cosx| O y= C,cosx…

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Q: 1- If y+3y = 8 then g-solution is %3D a- y+ 6 = 1 In (8-3y) = x +c a.

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Q: 2(a) Discuss the solution of this initial valued problem (IVP); xe* y' = 5y4+2e2y %3D y(0) = 3 %3D

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Q: Find the particular solution of the initial value problem, 4y" – 4y' – 3y = 0,y(0) = 1 and y'(0) = 5…

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Q: Do you think that the initial-value problem y'=xy^(1/2), y(0)=0 has a unique solution? Justify your…

A: It has no unique solution.

Q: 20) Solve the higher order initial-value problem y"=x+1/x;y(2) =1 and y '(2) = 0 1 7 7 1 15 + -- X-…

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Q: .1) The general solution of the equation y" + y =-5e- , is: - y(x) = Ce-* + ez(Acosx + Bsinx) -e-* O…

A:

Q: 2) Use the Method of Undetermined Coefficients to solve the Initial Value Problem. y(4) +2y" + y =…

A: Y(t) =complementary function + particular solution

Q: (x-2)²(x³-4) y = Vx2+1 dy If then equals to : dx O y [2/(x-2)+(3x^2)/(x^3-4)-2x/(3x^2+3)] O…

A: The formulas which are used to solve the above problem are stated with the solution.

Q: How do i get the initial value problem xy’ + 8y = x^6 and y( 1) = 5.

A: Given,                   xy'+8y=x6                    ...(1) and                         y(1)=5.

Q: 8. Obtain the general solution to the equation ( Dª - 3D³ + 5D² - 9D + 6 )y = 0 a. y = cie* + c2e2x…

A: If the roots m1,m2,...,mn of the Auxiliary equations are distinct and real then the complete…

Q: 20. In question number 19, what is its particular solution? " (D² – D - 2)y = 1– 2a – 9e- Yp = 3e- +…

A: We need to find the particular solution of D2-D-2y=1-2x-9e-x Now, the particular solution is:…

Q: Solve initial value problem  y' = 3x^2 - (1/x^2) , y(1) = 5

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Q: 2(a) Discuss the solution of this initial valued problem (IVP); xex y' = 5y4+2e2y y(0) = 3

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Q: Q1: There is a factory working to produce two pump types (X, Y), by using four parts ( A, B, C, and…

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Q: Solve initial value problem  y'' − 2y' + 2y = 0,  y(0) = 2, y'(0) = 0

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Q: 7. Find the general solution of ( D5 + 3D4 – 21D³ – 47D² + 120D + 144 )y = 0 a. y = ciex + c2e3x +…

A: To find out the general solution.

Q: Solve the initial value problem y"+2y'-5y = 4e¯2* -1 y(0) = 1, y'(0) =1

A: First solve the given differential problem and the apply the initial Condition:   The given equation…

Q: 2 4. Find the general solution of (x + y') dx = А. -3x3 + 2y) %3D Сх В. 7x3 + 2y %3D Сх Зху" dy С.…

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Q: y = 0, is: %3D The general solution of y +xy +9x-4 Oa C,(3x) + C,Y,(3x) Ob C,XJ,(3x) +C,xJ_2(3x) Oc…

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Q: What is the general solution of xy(xy5 −1)dx + x²(1 + xy5) dy=0 ? A 2x³y³-3x²= Cx² B 2x³y5-3x²=Cy²…

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Q: 8. What is the particular solution of 2xyy' =1+y², when x = 2, y = 3 ? а. у%3D5x -1 C. y =V5x + 2 b.…

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Q: Determine the solution of the initial value problem 1. 5y" + y' =-6x, 2. y" + 4y' + 5y = 35e4x, y(0)…

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Q: what is the general solution of d^3x/dt^3 - 19 dx/dt + 30=0

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Q: 2) Solve the Initial Value Problem. y" +3y" + 3y' + y = 0, y(0) = 1, y'(0) = 2, y"(0) = 3

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Q: what is the general solution of y (1 + 3x ) y - v ? Oy = 4 + 3x + Ce %3D = 4 +3z + Ce" 4 + 3x + Ce…

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Q: 3) Use the Method of Undetermined Coefficients to solve the Initial Value Problem. y) – 2y" + y =…

A: Given differential equation we have to find the solution for given differential equation

Q: (b) Show that y = 3e²x + e-2x - 3x is the unique solution of the initial value problem y" - 4y =…

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Q: Solve initial value problem  y"'-3y"-y'+3y = 0 , y(0)=-2,y'(0)=1,y"(0)=-1

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Q: 3. Obtain the general solution of: (x – y)(4x + y) dx + x(5x – y) dy = 0

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Q: 25. Show that the solution of the initial y' = x + y, value problem y(xo) = yo is y = -1 – x + (1 +…

A:

Q: 2) -x - 4x+21<0 -8 -6 -4 -2 -10 Solution: nobeion levielei niwode bris enilnsdmun no nolosria…

A: NOTE: Refresh your page if you can't see any equations. .

Q: Q9 Solution of + (x + 2) y² = 0 using separation variable is 1 1 y +2x+c y = 2x- 2 22 +c 1 +2x+c…

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Q: Determine the solution of the initial value problem 1. 5y" + y' = -6x, 2. y" + 4y' + 5y = 35e **,…

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Q: 20. What is the solution of (2x - y)dx + (4x + y – 6) dy = 0? a. (x+y- 3)° = c(2x + y – 4)² b.…

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Q: 6. What is the general solution of * (x² + 2xy – 4y²)dæ - (2? – 8ay – 4y)dy = 0 a? – 4y = c(x - y)…

A:

Q: 17. The equation y2 = cx is the general solution of: * (3 Points) O y = y/ 2x O y' = 2y / x O y =…

A: Here I am attaching image so that you understand each and every step.

Q: What is the solution to the initial – value problem : x²y" + xy' – y = 0 with y(1) = 2 and y'(1) = 4…

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Q: 1. y" - y' - 2y = e by D- | operator method 2. y" - 3y' +2y = e4x + 6x³ – 2+ 3sin(4x)

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Q: Determine the solution of the initial value problem 1. 5y" + y' = -6x, 2. y" + 4y' + 5y = 35e4*,…

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Q: Find the general solution to(D5 - 2D3 -2D² – 3D – 2)y=0 O y= e-X(C1 + C2x) + C3e2X + C4cosx + C5sinx…

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Q: 17. The general solution of the equation (x³ + 3xy²)dx + (3x²y+y³)dy = 0 is A. (x4 + 6x²y² + y4) = C…

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Q: 2. Find the general solution of d³y dy dy 6- dr3 + 12 dx2 dx 8y = 21e2 -

A: To find- Find the general solution of  d3ydx3 - 6d2ydx2 + 12dydx - 8y = 21e2x

Q: What is the general solution of xy(xy³ −1)dx + x²(1+xy5)dy=0? (A) 2x5y³-3x²= Cx² B 2x³y5-3x2= Cy²…

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Q: 2 The general solution of y +xy+ 9x* - 4 y = 0 is: O a C,J,(3x) + C, Y,(3x) Ob. C,xJ,(3x) +…

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Q: 2. Solve the initial value problem -2x y"+2y'-5y = 4e * –1, y(0) =1, y'(0) = 1

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Q: 1- If y+3y = 8 then g- solution is %3D a- y + 6 = 1 b- In (8-3y) =x + c 3 a

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Q: 1] Use Gaussian Elimination Method. 7X + 5Y + 2Z = 10 = 5 0.7X0.4Y+0.9Z 5X + Y + 8Z = 8 -X+Y+Z =…

A: Guidlines note As per our company Guidelines we are supposed to answer only the first question.…

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.