2 x= y -9 /x=e -10 -8 -6 -2 2 4 Hy = -1 2.

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

A:

Q: Solve the initial value problem: y'(x)=√-2y(x) + 35, y(-2) = 5

A:

Q: You must show all work to receive full credit y=-2e-9x²+x+4 y(0)=6 1) Solve the initial value…

A:

Q: Solve the initial value problem 2x y(0) = -2. y + x?y

A: The solution is given as

Q: 3. Solve 2x²y" + xy' − 3y = 0 with the initial condition y(1) = 1 y′(1) = 4

A: This is a Cauchy Euler equation. The equation is solved by a substitution.

Q: Solve the initial value problem. y' = 2 y(0) = -7 4 У, -6 7 -4

A: The given system is -  y' = -74-67ywith the initial conditions as follows - y(0) = 2-4We can write…

Q: Q4: Solve the initial value problem: ty = 2y +t

A: Solution of initial value problem

Q: y" –3y – 2y=0; x =0,y=0, y' =9,y' =0

A:

Q: 3. Solve y" + 2y + y = U(t-1) + 6(t-2), y(0) = 0, y'(0) = -1.

A: Some of the properties of Laplace transformation are ,…

Q: (4) Solve the initial value problem = 3x2 -2, y(1) = 0.

A: dy/dx =3x2-y/x

Q: Find the solution to the initial value problem y'=x²-, y(2) = 3.

A: Solution of the initial value problem

Q: What is the long term behavior of the solution with the initial condition (-2, –1)? -3

A: Since, at point x=-2 and y=-1 present in the graph having the phase portrait curve as decreasing to…

Q: (x) y(2) =4 %3D

A: We will use the given condition to find the solution of the given differential equation

Q: Determine if y(x) = e-3x is a solution of y" + 3 y' = 4y

A:

Q: y′=−2ex −2x2 +3x+6 y(0)=5 Solve the initial value problem above. Do not include "y=" in your answer.

A: Given that  y′ = -2ex -2x2 +3x +6; y(0) = 5.That is dy/dx = -2ex -2x2 +3x +6.dy =(  -2ex -2x2 +3x +6…

Q: x² – y Solve the initial value problem y' with y(2) = 4. %3D xy help (equations)

A:

Q: Find general solution of " – y – 2y = e2t

A:

Q: Q4: Solve the initial value problem: ty = 2y + t

A: Question. 4. The solution is,  y = y(t) = t³ + t²•C, where, C is the constant of integration.   The…

Q: Find the solution of the initial value problem . ty' = y + 3\/y² + t², y(e²) = 0 ? +t², y(e²) = 0

A:

Q: use the two phase method to solve the lp MAX -  4x1  +  x2 - 2x3 st --    2x1 + 2x2 + x3 = 4 x 1+…

A: We can solve this using two phase method

Q: Q4\ Solve by Gaussian elimination x - 4y= 2z = 21 2x+y + 2z = = 3 3x +2y-z = -2

A:

Q: 5. Solve y"-y'-2y = e-x+1, y(0) = 0, y' (0) = 0 by undetermined coefficients.

A: Consider the given differential equation and initial conditions

Q: Solve the initial value problem y" + 5y- 36y = 0, y(0) = a, y'(0) = -63. Find a so that the solution…

A: Given differential equation is y'' + 5y' - 36y = 0 with y(0) = α, y'(0) = -63

Q: W/Solve the follow ing syatem of nonlinear equation using Direct methods. 2x +y2-6 0 x+2y-3.5=0…

A: Given equation is                                       ellipse, 2x2+y2-6=0straight line, x+2y-3.5=0…

Q: 2y" - 5y' + 3y = 0, y(0) = 3, y'(0) = -4

A: Given equation is 2y''-5y'+3y=0   Also given y(0)=3 and y'(0)=-4

Q: Consider the initial-value problem y' = 8x³y, y (2) = 5 Solve the initial-value problem to find the…

A:

Q: Q4: Solve the initial value problem: ty' = 2y + t³

A:

Q: Solve the initial value problem (x- 1) y'- 4 y (2) = 1 = X Solutiom :

A:

Q: Obtain the particular solution. y' = x exp(y-x²) ; when x = 0 , y = 0.

A:

Q: 4. Solve the IVP y' = 2x-3y +e¯* y'= 2x- 3 y +e * with y(0) = 1 y(0)= 1

A:

Q: HiW.2 DE solve y=ソ-4y A.e |-4y

A:

Q: y'+2y = te-2t , y(1) = 0  solve the initial value problem

A:

Q: What is the solution of (2x - y)dx + (4x + y– 6) dy = 0? а. (x+у-3)°- с (2х +у- 4)? b. (x-y+3)²=…

A:

Q: 3x2 +1 Solve the initial value problem y y(0) = 3 y – 2

A:

Q: Solve y' = 6x, x' = x + y with initial conditions x(0) = 1, y(0) = -2.

A:

Q: Solve the initial value problem: y" + 2x(y')? = 0; y(1) = 5; y' (1) = 3

A: We have to solve the given differential equations.

Q: Two solutions of y"-2y'+y = 0 are e^-x and 5e^-x. Is the general solution y = cle^-x + c25e^-x?…

A:

Q: y' = 3y2 y(2) = 0

A: For first order differential equation of variables x and y, if it is possible to arrange all the x…

Q: solve the initial value problem  y' = (xe^(-2x))/(2y-4) , y(0) =1  thanks

A:

Q: y′=−2ex −9x2 +x+4 y(0)=6 Solve the initial value problem above. Do not include "y=" in your answer.

A: Solve the Initial Value Problem(IVP) for first degree differential equation is given.

Q: 5. The particular solution of y' + y = y¯² when x = 0,y = 2 is

A:

Q: 4. Solve (x-2)y" - (4x-7)y' + (4x-6)y= 0, if y₁ = e2x is one known solution? HO The Cystem 2e²t

A:

Q: Solve the Initial Value Problem. y = 9x (y +9), y(0) = 0 %3D

A:

Q: Find a solution to the initial value problem, y" + 18x = 0, y(0) = -4, y'(0) = –5. %3D

A: To Determine: Find the solution to the initial value problem.

Q: Solve the initial value problem. y" = x*, y(1) = 3, y'(1) = 4 y =

A:

Q: Find the particular solution of (d2y/dx2) = 4x3 - 2x; y' = 4/5 and y = 1 when x = 1

A: Given differential equation, d2ydx2=4x3-2x       ...(1) y'=45 and y=1 when x=1

Q: 4. Solve y"- 4y' +3y = 1 by variation of parameters. %3D 1+e-*

A: