If y = e2" is a solution to y" - 5y' + ay 0 then a = Select one: a. 2 b. -6 С. -2 d. 6

Q: Q5. Solve the difference equation: - Yn+2 2yn+1 + 9yn = 3" Yo=y₁ = 0

A: The characteristic equation is: λ2−2λ+9 Then λ=2(1)−(−2)±(−2)2−4(1)(9)​​=22±−32​​=1±22​i In polar…

Q: Solve: 5x? 20х b. x2 + 4 = 8r – 12 с. (х — 7)(х + 5) — —20. a. -

A: We have to solve the equations: a.  5x2=20xb.  x2+4=8x-12c.  x-7x+5=-20 Solving a. Simplifying the…

Q: what is the intersection of y=4e1.5041x and y=8E+07e0.0106x

A: Given: y=4e1.5041x  and   y=8E+07e0.0106x We have to find the intersection of two given curve

Q: If y = x' - 3x' + 1 +8x– 10, find y5) 13. x2 -5 a. - 24x5 b. 720x3 -7 120x d. - 720x-7 с.

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Q: Solve M= ZD Q+Z for r.

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Q: x²dydx 2. Solve: S x²+y²

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Q: 3 Which of the following is a possible solution for x in the equation A. 2 В. З C. 4 D. 5

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Q: O Solve y(0) -1, yro)= -2

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Q: x² y² + (y²) ² y" = = U C

A: We are going to solve this by substitution method

Q: dy + 3x2 + 2y3 = 0 dx e) Solve (6x + 1)y?

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Q: y = 5x + 9 0 %3D y 9x= 502

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Q: A B 4. n(A UB) = 155 n(ANB) = 30 n(B) = 105 30 Solution: y O x = 20,y 30 O x = 30, y = 75 O x = 50,…

A: To find the values of x and y from the given venn diagram.

Q: :Q: solve the following equations 2X-3Y+Z=-1 X+4Y+5Z=25 3x-4y+Z=2 x=8.7 y= 5.7 z= -1.3

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Q: if y= Find dz Iz-1 21-6 Answer:

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Q: Solve for a : 33x+7 – 92a+5 x = 12 x = 2 x = -3 = 17 х— —17

A: We have to find the value of x from the given equation . I have explained in details please see the…

Q: In two equations 3x+7y=51-4x+2Y ; x+2y=33-2x-2y . y=? a. 4 b. 5 c. 7 d. 3 e. 6

A: mmi

Q: C. mBY BY = %3D

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Q: 2. 5x + y = 13 "3x + 3y = 3 Check and Solution: The solution is:

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Q: Solve the equation dy 2y² – x² 3ry

A: GIVEN equation in this question dydx=(2y2-x2)(3xy)   SOLUTION- as we can see dydxis a homogeneous…

Q: 3 = 4+ 2 ect the solution(s) of I -1 I = -1 a = 3 T =-4 I = 0 x = 4 I = -3 x = 5 I = -2 = 2 The…

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Q: The equation a² + y? + 4z2 = 25 in R° describes

A: We have to describes the given equation in R^3

Q: IPIAI Evaluate p²^z^¸¶= J=

A: The given integral is;

Q: h B L3 L2 Select one: A a. L₁/√(L₁²+L3² +h²) b. -L₁/√(L₁²+L3² +L5²) c. h/√(L₁²+L3²+ h²) d.…

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Q: Solve by the addition method: 5x 4 3. 3. 2х у 11 3 2 6. II

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Q: 4. y(4) + 17y" + 72 = 0.

A: To solve the following differential equation. y4+17y''+72=0

Q: Solve for x: 2x? + 26x + 80 = 0 O x= -8, -5 O x = - 5, 5 O x = - 16, -25 Ох326, 80

A: option first is correct  see below the answer and calculation

Q: A management consultant estimates that the number h of hours per day that employees will work and…

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Q: Put the equation y = x + 6x + 5 into the form y = (x - h)' + k: Answer: y =

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Q: Solve: x dy -(3x+5y) + 15y = 0 and write your solution set as a single equation

A: Remember:1.if ax2+bx+c=0Then, x=-b±b2-4ac2a2. If y1 and y2 are general solutions of a differential…

Q: - 5 = 24 + Z = -1 2x + 34 = 2 -y-2Z = (Mabrices), find of Z Ron Rescaling

A: The given system is: -x-2y+z=-12x+3y=2y-2z=0

Q: Solve for a: »2-a-x² (2-a²-y 4 dzdydx 15 %3D 0. a

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Q: y + 2) = - 7 + 9( -

A: We have to find the value of y according to the given information

Q: 9. A. x + 3y = 6 B. 3x + y = 6 11. Solve 6x + C. x - 3y = -6 D. 3x - y = -6 1 5 = 3x - 3 10

A: (Q). 9  We have given the graph we need to determine the equation of line.(Q). 11 We have given the…

Q: 4. Solve y"-9y0. Your Answer:. y" +9y= 0. Your Answer: y"+y6y=0. Your Answer:

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Q: B) fometie w= xty+y2-23, x²ry*+2?=6

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

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.