The solution of the IVP у" - Зу'- 4у%3D0, V(0) %3D0, у'(0) —5 is: Select one: а. y = - e4t + e-t b. y = - e-41 + e' С. y = e4t - e-t d. y = e-41 - e!

Q: find the general solution with egienvalues and the phase potrait

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Q: Solve system of linear DEs  dx/dt+dy/dt+2y+6y=2e^t 2dx/dt+3dy/dt+3x+8y=-1

A: To solve dxdt+dydt+2x+6y=2et2dxdt+3dydt+3x+8y=-1

Q: Solve using crama's rule: 2x - 2y + 3z = 13 5x - y + 4z = 11 x + 3y - z = -10

A: We solve the system using Cramer rules

Q: i wonder how to solve this system of 1st linear non- homogeneous ODE. like using the y=yh+yp and…

A: Given the system of 1st  linear non-homogenous ODE, y1,y2,=-11-10y1y2+0.5sint0.5sint…

Q: ?  kilogram child, ? meter(s)

A: Given that, two children weighting 15 and 22 kilograms are sitting on opposite sides of a seesaw,…

Q: In the process of using an "auxiliary equation" to solve a homogeneous DE, the final result can be…

A: Depending on the type of roots of the auxiliary equation, there will be 3 different types of…

Q: y" + y = 2x

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Q: x(x – 2)y" + 2(x – 1)y' – 2y = 0

A: Solution: x(x-2)y"+2(x-1)y'-2y=0 Solve using the series method: A linear homogeneous ODE with…

Q: x(1-х)у" - Зу' + 2у %3D0

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Q: (3) Find the particular solution passing through point (2,-2) at t= 0. Don't do more work than you…

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Q: (Dª + D² + 10D)y= 0 , y(0) = 0, y'(0) = 6, y" (0) = 4, y"(0) = 4

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Q: Use Gauss-Seidel method to solve for x, X,, Xạ until the relative error falls below 5% Repeat with…

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Q: Perform two steps of the Conjugate Gradient method for finding an approximate solution to the system…

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Q: By using linear method, solve dy %3D

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Q: The management of hartman rent a car has allocated $1.5 million to buy a new fleet of automobiles…

A: Let f is number of full , c is number of compact, i is number of intermediate size cars Total cars…

Q: value of c in the equation: dV/dt = -500 (t+1)-2, when  V=700and t=0 is

A: follow next step

Q: 3.Given a nonlinear equation y = 3x^3-

A: Given,       y=3x3-5.12x2+3.4x-1.9

Q: A solution of a DE which is not exact and falls under Case 3 i.e. a2 can alone be solved by b2 DE…

A:

Q: At the point AI 2.4) was rotated counterclockwise A. LTS image would be located at 13 A'L 4-2) (21…

A: Let us take a random point x,y. If x,y is rotated counterclockwise by 90°, then the co-ordinates of…

Q: 4. Solve eu, - uu, = 0, u(0, y) = -y %3D for small |r.

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Q: Determine the degree of the Homogeneous Equation. 1 (u² – 4v²)-2 Degree 1 Degree -1

A: Given: we are given Homogenous Equation= (u2-4v2)-12

Q: 10. y"" + y" = 3 А. 3 В. Зх C. D. 3x?

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Q: 6. Use Cauchy-Euler equations solution method to solve x³y"' + xy' – y = 0 а.

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Q: y" + y" = 3

A: Solving the given third order differential equation

Q: Perform two steps of the Conjugate Gradient method for finding an approximate solution to the system…

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Q: Find the general solution and the particular equation of the Equation Linear 2ª order given the…

A: We have to be find solution

Q: Solve y (4) and z (4) applying the solution For of systems linear dipperential equation. 야 + z ty z'…

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Q: Perform two steps of the Conjugate Gradient method for finding an approximate solution to the system…

A: Please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: Find an example of a nonlinear equation, which is not solvable using any of the methods: separable,…

A: We have to find an example of a nonlinear equation, which is not solvable using any of the methods:…

Q: 3t yy"2y

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Q: y" + y = 0, y(0) = 0, y' (5) = 2

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Q: Find a root of the system of non- linear equations x +y = 3; xy 1 by Newton's method starting with…

A: here we need to find the root of given equation using newton's method. the solution is following.

Q: Solve for the orthogonal tragectories y²= 4x (1- kx) %3D

A: This question is based on differential equation.

Q: Consider the nonlinear system of equations 22 – 3y = 4, 4x – y = 4. (2,-4), one step of Newton's…

A: f1=x2-3y-4=0f2=-y2+4x-4=0 J1,1=∂f1∂x=2x    J1,2=∂f1∂y=-3J2,1=∂f2∂x=4      J2,2=∂f2∂y=-2y…

Q: Solve for the 2nd order nonhomogeneous linear equation: y"+12y'+37y=10e-4t     ; y(0)=4,  y'(0)=0

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Q: 14. dQ/dt + (2/10 + 2t)Q = 4 2(5 + t)² + C 5+t

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Q: y" = 4

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Q: Suppose that the characteristic equation of a homogeneous constant coefficient linear equation is…

A: Consider the provided characteristic equation,

Q: The nonlinear system x² + y = 11, y² +x = 7 has four solutions. (a) Approximate the solutions…

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Q: Solve the DE using Linear First Oder Method: y +yx = x - 3. if y(0) = 2 %3D

A: Given y'+yx=x-3   if y0=2 To find the general solution

Q: (): Suppose y = cjex + czetx is the general solution to y = Ay. What is A %3D %3D ? We don't have…

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Q: Solve (x² - 4xy-2y²) dx + (y² - 4xy - 2x²)dy = 0 By using the method of the exact equations 1-…

A: The given problem is to solve the given differential equation by using the method of the exact…

Q: Solve the boundary-value problem y" + x²y' - 4xy = 2x³ +6x²-2, y(0) = 0, y(1) = 2 by using the…

A: Given that, The boundary value problem, y"+x2y'-4xy=2x3+6x2-2,            1       y0=0, and y1=2. By…

Q: Solve by gauss elimination method: 15 x + y + z = 17; x + 15y + z = 17; x + y + 15z = 17

A: Consider the augmented matrix of the system.

Q: Solve the DE using Linear First Oder Method: y + ya2 = 25. if y(0) = 1 %3D

A: Introduction: A first-order ordinary differential equation is one in which all derivatives with…

Q: If z = ln √(u2 + v2 + w2), find ∂z/∂u, ∂z/∂v, and ∂z/∂w. Also, please explain the method used to…

A: Topic = Derivative

Q: Solve the system of linear equations for x and y: (cos 0)x + (sin 0)y = 1 (-sin 0)x + (cos 0)y = 1

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Q: to find a Use the method of frobenius solution of the fallowing DDE: near

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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.