Find the solution of the following initial value problem:y+3y +2y-0, y(0)= 0, y (0) = - 2 Select one y-e- -r b. 2e-2sin31 2e-2e

Q: the following equations for y: 2x + 3y - 2² = 8 2y-3x = 5 (c) (d) ry+5y – 15 =- 3+²=2 y

A:

Q: Which of the following is the general solution of: y²dy + x³dx = 0 Select one: a. y³ x4 -k 3 4 O b.…

A:

Q: Which of the following is a general solution to the DE y = 3x? +5? A y= x3 + 5x + C B y=x3 + C ©…

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Q: find the general solution (u) youl - 13g" + 36y= 2x²-x+1

A: Step 1: Step 2: Step 3: Step 4:

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

A:

Q: 7. Write the given equation below in standard form. x2 +y +12x – 16y = -64 O (z + 6)² + (y + 8)² =…

A: To make in standard form we make perfect square in x and in y by adding or subtracting some Value

Q: a. Calculate the discriminant.b. Determine whether there are 0, 1 or 2 real solutions tof (x) = 0

A: We know that, for a standard equation of quadratic is given as  ax2+bx+c=0          ⋯⋯1 The…

Q: 1. Let D = the sales of DVDs in billions of dollars, S = the total sales of streaming videos in…

A: The sales of dvds given as the function D = -0.92t + 8.75 and the total sales of streaming videos…

Q: (D² + 9)y =0

A:

Q: Find the four solutions of the equation z* - 4z? + 16 = 0.

A: z4-4z2+16=0

Q: find the final value for the 3 z³ +8 F(z) = = 23-22

A: Given; F(z)=Z^3+8/Z^3-Z^2 We have to find final value

Q: In a learning experiment, a subject is first given x minutes to examine a list of facts. The fact…

A: We are given S(x,y) = x2 + 5xy + 15x – y2 + 3y + 25. Calculating ∂S∂xand ∂S∂y ,   ∂S∂x=2x+5y+15 = Sx…

Q: 6. Give the equation for the following (-2,0) y X

A:

Q: Find the solutions to the following equation: (x + 1) (x - 8x - 20) = 0 %3D O x= -2, 10, 20 O x= 0,…

A: Solving the problem by finding the roots of the problem.

Q: 7. a) Determine the error, if any, in the solution to this equation. Describe in words, in detail.…

A: Given equation : -62x-5=4x-2x+3

Q: If y=1 What is the value of 2y+y+7y/y-2

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Q: Find the general solution of the following 17. (D² + 49)²y = 0

A:

Q: Find the solution(s) to the following. (x-4)(2x – 3) = 0

A: Given that (x-4)(2x-3)=0   We will set each factor equal to 0. So, x-4=0 or, x=4

Q: 4. Which of these is the extraneous solution for the equation given below? 2x 2 x +1 %3D x2 – 1 x2 –…

A: We have to find the extraneous solution for the equation…

Q: If yo is the solution of the equations xy' + 3y = x, y(1) = 2, %3D determine the value of yo(2).

A: Given a first-order differential equation,                             .....(1) condition  y(1)=2

Q: Solve the following equations for y: (a) 2x+3y-2²=8 (b) 2y-3x = 5 (c) (d) ry +5y– 15 = 5 3+==2 y

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Q: y²dx+x(x+y) dy=0 A xy² = c(x+2y) x²y=c(x+2y) xy² = c(2xy) x+y²=c(2xy) B C D

A: Given: The equation is y2dx+x(x+y)dy=0. To find: The correct option for the solution of the given…

Q: 2. Solve the following equations for x. It may help to make up an equation with numbers and solve it…

A: 2) (a)   a(x+b)-c =dax+ab-c=dax= d+c-abx = d+c-aba(b)  e(x+c)b =2e(x+c) = 2b(x+c) =2bex = 2be-c(c)…

Q: If y = ex , theny equals - 2x A y3 2x D none of the given choices – 2y E x3

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

Q: 4. Obtain the general solution (D³ + D² - 9D - Dly = 6e*+ 3° 3x 3xe

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Q: x + 2y +4z - 5t 3x - y + 5z + 2t 5x - 4y + 6z+9t 3 = 4 = 2

A:

Q: Solve x = I y = 2 = W= x -x y + Y + 2z + 2y א -2 3z 1+ ++ = 4 W = 1 W = 4 1 W 5w =

A: solve the system of equationx-y+z-w=4y+2z+w=1-z+w=4-x+2y-3z+5w=1

Q: x²y+ 2xy = x + y ise y =?

A:

Q: (a) 2x+3y-2²=8 (b) 2y-3x = 5 (c) (d) xy +5y-15=-5 3+ Y

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Q: If Ax) = (x – 5)* thenf(x) equals A x-5e х — 10е 2r D 2r + 25 E 2х — 10е

A:

Q: x + 3y − z = 2 x + y − z = 0  3x + 2y − 3z = −1

A:

Q: Which of the following is not an equivalent equation to 3x - 4y + 1 = 0? A B 4y-3x-1=0 C y= 3 1 4…

A: Let's find not an equivalent equation to 3x-4y+1=0.

Q: 2y Solve (3x²+2) dx + (2x - 4y) dy=0 e A B 2 2y x+xe D xe ²y = 2y² = C r3+xe ³y – 2y³ = C 3y © x³ +…

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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.