Use the elimination method to find a general solution for the given linear system, where differentiation is with respect to t. x' = 6x -y y' = 6y - 9x Eliminate x and solve the remaining differential equation for y. Choose the correct answer below. гу. O A. y(t) = C, e - 31 + C2 e - 9t B. y(t) = C, e 3t + C2 e 9t OC. yt) = C, e 31 + Czte 3! O D. y(t) = C, e 91 +Czte 9t O E. The system is degenerate. Now find x(t) so that x(t) and the solution for y(t) found in the previous step are a general solution to the system of differential equations. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. x(t) = O B. The system is degenerate.

Q: Find the solution. y'+=V5.y(1) = 0

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Q: 1. y = 1+3x-x2

A: Since there are more than one question, only one question is to be answered. A function is given by,…

Q: * jax vnen 8. xy dx + 2(x² + 2y²)dy = 0 ; when x = 0, y = 1

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Q: Determine if the equation is exact, then if it is exact, find the solution. (2x+3)+(2y−2)y'= 0…

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Q: 4. Given the equation: 2xy² y' = y + - et Find the integrating factor. Choose your answer from the…

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Q: Use the elimination method to find a general solution for the given linear system, where…

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Q: (y + Jx² + y² )dx – x dy = 0 ; when x = v3,y = 1 7.

A: The given problem is to solve the linear differential equation with given initial conditions. We…

Q: x + 4) (y + 1)) dx + (y (x +3x + 2)) đy = 0

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Q: Write solution by hand

A: Step 1:Solution-Step 2:I.F.= Integrating FactorStep 3: Step 4:

Q: (3x² – 2xy + 3y²)dx = 4xy dy

A: 6. The given is  3x2-2xy+3y2dx=4xydy Thus, dydx=3x2-2xy+3y24xy.....(1) which is a homogeneous…

Q: If y = v3x , then y' is A. -1/2 B. V3 x -1/2 С. /3x V3 D. 2 V3 -1/2

A: Given y=3x

Q: x² + y² Solve y'= 2. xy 3. Solve (x+y-1)dy = (x-y-3)dx

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

Q: Which is the correct differential equation of the y = x + be²* + ce² after elimination of the…

A: The explanation of answer as follows :

Q: 7. Find the general solution: y(x? + y²)dx + x(3x² – 5y²)dy = 0 a. y³(y² – x²) = cx b. 2y3(у2 — х?)…

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Q: Find the solution. y' = y - xy³ e-2x A e2=x²(y²+c) B e2Y =x²(y²+c) (c) edx =y²(x²+c) (D D e=y²(x²+c)

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Q: y' = 5y + e-2*y¬2

A: The differential equation is given as , y'=5y+e-2xy-2 find the solution.

Q: value of positive 1. Then find tne constant coefficient of the following. x²y°| b. x³y? а. 3,,3

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Q: Solve the first-order linear equation ey' + 3ey = 2xe¯ = 2xe-5x, y(1)= 232.

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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.