b) Find particular solution of х*у %3D- (х* - 1) у, У(1) %3D 1.

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

A:

Q: What is the difference between first-order and second order homogeneous equations?

A: The characteristic equation for the first order homogeneous equation has one root while the second…

Q: у" + 3у' + 2у 3D0

A:

Q: Obtain the general solution valid near the origin: х(х-2)y1+2(х-1)у - 2у %3D0

A:

Q: Use separation of variables to find an explicit solution. xyy' = 2xy + y?

A: Idea: after separating x,dx and y, dy terms together. we take integration on both sides . after…

Q: Find the solution of 2y-y² sec²(xy²) + (2x − 2xysec² (xy²))y' = 0 given y(1) = 2.

A:

Q: a) Give a particular solution for y" – 2y' + y = 3e*.

A: According to company rule we can answer only first question and rest can be reposted.

Q: find general solution. dr/dt= -2tr,         r(0)=ro

A:

Q: x(1-х)у" - Зу' + 2у %3D0

A:

Q: Obtain general solution of y' = y + y^3.

A:

Q: Find two linearly independent solutions of 2x2y"-xy'+(-6x+1)y=0, x>0 of the form

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Find the general solution for the homogenous equation of y′′ − y′ − y = 0.

A:

Q: (2x + 3y + z = -1 Зх + Зу + z %3D1 (2x + 4y + z = -2 Give the solution of

A: We can find the answer using Gaussian elimination method as below.

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: find the explicit solution of y' +xy = x√ y

A: This is a basic differential equation problem

Q: . Find the general solution of (³ + 2y*)y' = 3ya² in implicit form f(x,y) = c. When y(0) = 1, what…

A: We have given differential equation  x3+2y4y'=3yx2…

Q: 1nd the general and definite solutions of the diIference equations

A:

Q: Let (x, Y,) be the solution of the following equations (2x)" = (3y)m3 3Inx = 2lny In 2 %3| %3D Then…

A: Introduction :

Q: Solve for Gaussian Elimination with Back Substitution. 2x+y+8z=-1 x-y+z=-2 3x-2y-2z=2

A:

Q: I Find a particular solution to y" + 4y' + 3y = 3te*. %3D Yp =

A: Solution:-

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

A:

Q: Find the general solution of the given system. 1 0 X' = 2 2 -1 X %3D AUR 0 1

A: Given system is  X'=10022-1010X

Q: Find a general solution of y"- iy'+6y= 0.

A:

Q: a) Give a particular solution for y" – 2y' + y = 3e*. %3D

A:

Q: 4. Write the solution of i = -y, ý = x, x(0) = 1, y(0) = 0 %3D

A:

Q: 2. (D² - 3D + 2)y=1+x

A: The given differential equation is;  (D2-3D+2)y=1/(1+e-x).

Q: х2у" + x(x-1)у' + (1-x)у %3D 0

A:

Q: Find that solution of y’= 2(2x-y) which passes through the point (0,1). Use Linear Equation of Order…

A:

Q: у" — у' — х %3D 0

A: We are given: y'''-y'-x=0⇒y'''-y'=x Auxiliary equation is : m3-m=0⇒m(m2-1)=0⇒m=0, 1, -1 Hence,  CF=…

Q: Find two linearly independent solutions of y" + 3ry = 0 of the form Y1 = 1+ a3x³ + a6x® + · .. Y2 =…

A: We find two linearly independent solutions of the given differential equation  y"+3xy=0.......(1)

Q: a. Find that solution of y' = 2(2x-y) which passes through the point (0, 1). %3D

A: For part a). Given that                      y' = 2(2x-y) =4x-2y                      y' + 2y = 4x…

Q: Solve the particular solution (D2 + 3D + 5)y = 5e-x sin (2x) using D - operator method.

A: We find the particular solution of  (D2 + 3D + 5)y = 5e-x sin (2x) using D - operator method.

Q: We wish to find the solution to =26y that passes through the point (x, y) = (1, 3).

A: Explained below

Q: Find the general solution of ylty = 2xcosx -cosX %3D

A:

Q: what is the general solution of y (1 + 3x ) y - v ? Oy = 4 + 3x + Ce %3D = 4 +3z + Ce" 4 + 3x + Ce…

A:

Q: 2 Find the solution. ху'+ ху %3D 1-у, у(1) %3D 0 A y = x-'(1 – el-') B x = y-'(1 + el-) В © 2y =…

A: Solution of the differential equation

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

A: This question is based on differential equation.

Q: %3D у — Зу + Зу - у %3D 4е" y y =

A:

Q: ) Find the general solution of the DE y = (2+y')x+ (y')².

A:

Q: Find the solution of y-x =0 using separable variable method. dx

A:

Q: Solve the Cauchy-Euler equation: x*y' Зху + 4y = 0. %3D

A: Given Cauchy-Euler differential equation is

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A:

Q: Find the particular solution to y''-y'+y = 2sin(3x)

A:

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…

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A: An eigenvector or feature vector of a linear transformation is a nonzero vector that modifications…

Q: Find the general solution of y"+25y=sec(5x)

A:

Q: (D³ + 2D² - 5D - 8)y = 0, when x = 0, y = 0, y = 0, y" = 2

A: Given