Use the elimination method to find a general solution for the given linear system, where differentiation is with respect to t. x' = 5x- y y' = 5y – 16x %3! Eliminate x and solve the remaining differential equation for y. Choose the correct answer below. O A. y(t) = C, e 9t + C2te 9t O B. y(t) = C, e -t+C2 e -9t O. y(t) = C, e'+Czte' O D. y(t) = C, e'+C, e 9t O E. The system is degenerate.

Q: A non-exact equation can be converted to an exact equation by OA. Multiplying with the Integration…

A: Choose the correct option:

Q: y? + 3xy Solve the IVP y' y(1) = 5 using appropriate substitution. x2

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Q: Write solution by hand

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

Q: Find the second derivative. 3 2. y = 7x-8x+4 e* O A. 28x-16-4 e^ O B. 16x- 28-4 e O C. 16x- 42 + 4 e…

A: A function is a relation which maps each value in its domain to exactly one value in its range. The…

Q: Solve the exact equation 2xydx + (x² + 3y2)dy=0 with the initial condition y(2) = 1. Write the…

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Q: Q1. Find the derivatives of the following: 1. y = -x 2. s = 5t - 31s + 3 4x 3. у 3 4. w = 3z2 - 5. у…

A: Please find the detailed solution in below images

Q: Write down your complete solutions. Enclose all final answers in a rectangle. 1. Obtain the…

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Q: If the ratio of boys to girls in tennis camp is 3:5 if there are 64 campers, how many are girls 

A: We find out how many girls as follows:  • We first need to determine the total number of parts in…

Q: 2. Differentiate the following equations. a. Differentiate. 11 y 1=22²2²² 7x²

A: Since we are given with the multiple  number of subpart  question answer will be according to the…

Q: 1. Find the equilibrium solutions 2. Determine the stability of each equilibrium solution by using…

A: To find the equilibrium solutions and determine their stability for the given differential…

Q: Determine whether the statement is true or false. If y = e2, then y' = 2e.

A: Given: Required:

Q: Method of differentiation. 19. Solve (1-x²) dy − xdx + m²y=0 - where x = 0, y=0, x=m dx

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Q: F(x, y, z) = x² + y² − z² - 14x − 16z - 8 = 0 - Use the quadratic formula to solve for z as a…

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Q: Find the general solution, given that y₁ = e satisfies the complementary equation. Use c₁ and ₂ for…

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Q: Find the value of a so that the left- and right-hand derivatives of f(x) at x = a are equal given…

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Q: 40. Regression analysis makes use of the relationship between two or more quantitative variables so…

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Q: d?y -=6-9x dx2 Find the equation of the curve for which and which passes through the points (0, -1)…

A: We will do this question by checking the conditions for the given options.

Q: Determine whether or not the following equation is exact. If so, find the solution. 1. (2xy² + 2y)…

A: Since it's a multiple question. So as per our guidelines, we are supposed to solve only first…

Q: solve for the homogeneous coefficient   (x²+2yx-4y²)dx-(x²-8xy-4y²)dy=0

A: Consider (x2+2xy-4y2)dx-(x2-8xy-4y2)dy=0⇒ (x2+2xy-4y2)dx=(x2-8xy-4y2)dy⇒dydx=x2+2xy-4y2x2-8xy-4y2To…

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.