O O O O O O Consider the equation y" – y' - 2y = 8t2. which O In order to find the general solution, we need to 2t t2 is a solution to the equation. -4t? + 4t - 6 is a particular solution. 2020et + 2021e2t - 4t2 +4t - 6 is a solu If Y1, Y2 are two solutions to the equation, ther O 4e2t – 4ť² + 4t – 6 is a solution. O y" – y' – 2y = 0 is called the associated hom %3D

Q: (4ху? — 1)x2 + у(2x4 + у)у' %3D5; у(1) — 1

A:

Q: Sy-2+1 dy 2.

A:

Q: Solve y" - 2y + 17y=0

A: If the roots of the characteristics equation are complex numbers a±bi, then the general solution of…

Q: Solve the equation by using a u-substitution: x 5 + x5-2=0

A: The given equation is: x25+x15-2=0⇒x152+x15-2=0

Q: + 492y – 18y2 + 296 = 0

A:

Q: y=x+5 Select one: a. x=5,y=5 b. x=10,y=10, C. x=t,y=t´+5, t real number 2 d. y=t,x=t¯+5, t real…

A: The objective is to find the solution of the equation y=x2+5

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: Jenny solved the equation 1 - (2x + 4) = -4x + 5. Her work is shown. %3D

A: Given 1-(2 x+4)=-4 x+5

Q: (4n8x3)-3 =         How do I solve?

A: For the negative exponent, we can make the reciprocal of the expression.

Q: Solve for X in the equation, where -4 -3 A = and B = 5 3 -3 -2 -5 ABHTOMA RD 2X + ЗА 3 В

A: The given matrix,A=-4-3203-3 and B=0250-2-5

Q: 12) -7x - 6y=-12-7 2x - 7y =-14 |

A:

Q: Classify and Solve; Find the complete solution for the ODE ( D³-5D²+8D-4),y=e²x +2e+3e*)

A: This is a problem of differential equation. Total solution of this equation is sum of complimentary…

Q: Solve the Equation: x²-12x+39=0 1. (-5, 4) ○ 2. (-7,8} O 3. (8,-4) ○ 4. (6, -5}

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Q: x +y+ 5z = 0 Solve 2х — у + z %3 0 %D a. (4, 6, –2) b. (-2t, 0, t) c. (-2t, -3t, t)

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Q: 13) Choose the correct answer. You are working with your friend who finds the solution of –# + 2y =…

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Q: -1 0] -2 6 Use A = 10 and B = to solve the equation 3A – 2X = B. -4 13

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Q: xy²Zxy=O ? find these equations with Jacabien メーコ-3 method first, Points > X=2 4.=3

A: We are given the following equations. xy2-2xy=0   -------(1)x-y=3           -------(2) We need to…

Q: VZ A2 + B2 =0 A2 + VZB2 + C2=0 B2 + VZ Cz = 0

A: We have to solve the given system of equation.

Q: 4) Solve for x. Verify that your solution is correct using substitution. – 12) + 3x = 24

A: The objective of the question is solve the given equation and verify .

Q: Solve y -x + 2y z = ++ W W 2z+ -Z + W 3z + 5w W 1242 2 4 = 2

A: To solve the equation.

Q: Solve each equation

A: To solve the given equations.

Q: solve -27 X-2e +ce Q4 Y= be-2x

A:

Q: If v = 2i - 3j+ k and w = 3i - 2j - k, find ● VXW K j 2-3 1 3-2-1 3 11 2 + 2 3 - 3 2 = (3 + + 2); -…

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Q: ーy=5 5x-y=3 than one sol al solution, u

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Q: 1 (d) Last week, Amy walked a median of 7.5 kilometres each day. 1 kilometre = 0.6 miles The table…

A:

Q: (15x - 8) 226

A: Given,

Q: y=A+Be Ве + 4 ce

A:

Q: 9. Solve using u-substitution: 2x-2 + 5x-1– 12 = 0

A: Given 2x-2+5x-1-12=0 Solve using u- substitution

Q: 8Sin2x

A: Some particular integral formulas: P.I.=1D2+a2sin(bx)     [D2→-b2]   Given differential equation is:…

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.