Solve 1- y"- 6y' + 9y 4e Ans. y Ce +c,xex+2x2er

Q: Obtain the general solution by separating variables. SHOW YOUR SOLUTIONS. xydx - (x + 2)dy = 0

A: Given problem:- Obtain the general solution by separating variables. SHOW YOUR SOLUTIONS.   xydx -…

Q: ;y(0) = 1 form of yp to solve

A: As per the bartleby guidelines for more than one part only one has to be solved .Please upload the…

Q: Solve Cauchy-Euler equation. a2y"-2y 2x %3D

A: (1) The equation is, x2y''-2y=2x Take y=xm Then take the derivative, y'=mxm-1 Take the derivative…

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: Find the singular solution to the Clairaut equation y = xy' + In(- 19 -y').

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Q: 8x²y" + 10xy' – (1+ x)y = 0

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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(4) + 2y" = 2

A: Here we need to find the particular solution of given differential equation. The solution is…

Q: Test for exactness and solve (6xy3 + 4x'y5)dx + (3x°y² + 5x*y*) dy = 0

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Q: y(4) + 3y" + 2y = 0

A: We have to solve given differential equation.

Q: Solve using (a) analytical method, (b) Euler's Method, dy=x²y - 1.1y

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Q: the solution of the homogenous equation (хусот х -)dy - Ydx = o

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Q: 2. y() + 2y" - 2 А. 1 В. 2х C. x? D. ½ x?

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Q: Solve for all possible solution in the equation y^2 + y = x + Inx + e^y - x^2, using Secant Method *

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Q: Solve for x, y, z and w by Gauss elemination Method. Given: 12x-8y+6z+10w=26

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Q: 3y (11) dx* 6x2

A: As per our guideline we are supposed to answer only one question you can repost other questions in…

Q: with solution Final dy वर di dr-/2cset-1 de lesct. +2

A: We have to find out derivative

Q: Find the General solution Use method of undetermined coefficients. 1. (D² l)y=ex (2sinx + 4cosx).…

A: To Find: the general solution using the method of undetermined coefficients   1. D2-1y=e-x2 sin(x)+4…

Q: - Find the solution of the equation 3U, -5U, = 0 satisfying the condition U(0, y) = sin y

A: We have to find the solution to the given equation.

Q: Find solutions using Exact Equations 5. Solve (2t3 + 3y)dt + (3t + y – 1)dy = 0

A: Firstly Compare given differential equation with Mdt+Ndy then find the exactness of equation and…

Q: y" + 2y' = 121?

A: To find the general solution of a given non homogeneous differential equation first we will find…

Q: Solve using Crámer's Rule. X + 2y + = 2 3z = -10 y 2x +2y %3D 3= IL || ||

A: x+2y+z=2 y-3z=-10 2x+2y=0

Q: Solve (D2 – 2)y =0 O a. y = cqevZx + c2e¬vZx O b.y= "(c,cos/2x+ c,sin/2x) O c.y = cqevZx+czxe¬VZx O…

A: The equation D2-2y=0 represent y''-2y=0 . Consider the solution of the differential equation is in…

Q: Solve for all possible solution in the equation y^2 + y = x + Inx + e^y - x^2, using Secant Method

A: We have the following equation in two variables : y2 + y = x + ln(x) + ey - x2   As there are two…

Q: Solve: (2x + 3y – 5)dx + (3x – y – 2)dy = 0 . Show solution for determining the coordinates of the…

A: Find your answer below

Q: (y+x*y²) dx +x dy = 0 5.

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

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

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

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Q: Solve by the addition method: 11x + 13y = 9 1 lx + 26y = 13 O A. No solution %3D 3 4 OB.

A: We need to find (x,y) here which satisfy both equations

Q: dy _ y(ln(5y) – In(5x) + 3) dx 3x

A: The objective is to solve the differential equation dydx=yln5y-ln5x+33x Let, y=vx then dydx=v+xdvdx…

Q: 2. Solve the diophantine equation x = y'.

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Q: Find the root of system of equations using Newton Method . Employ initial guesses of x=y=1.2 y=-x²…

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Q: Solve the homogeneous equation (x²+y²)dy + x²dx = 0 Please help.

A: x2+y2dy+x2dx=0rewrite in standard format x2+y2dy=-x2dxdydx=-x2x2+y2

Q: y" + 2y' = 2te

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Q: he equation ay"+ by' + cy = 0 has a unique solution satisfying y(0) = 1 and y'(1) = 2.

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Q: 5. y" = 4 А. X В. 2х? C. ½ x? D. x'/3

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Q: Given, 1 y" +-y' + y = 0 x2 Write 2 linearly independent solutions (in the form of Bessels'…

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Q: Solve 5 2 E #(0) = – 2, y(0) = = 10 | Ly' - 29 - x(t) = %3D y(t) =

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Q: Solve the differential equa 5. y' = 2x?y – 4y %3D

A: The solution for the asked question is given as

Q: x²- y2)dydx a.

A: Solution :-

Q: Obtain the general solution to the equation. dr +rtan 0=3 sec 0 de The general solution is r(0) =…

A: The given differential equation is                                   drdθ+r tan θ=3 sec θ

Q: Find the general solution of each nonhomogeneous equation. 1. y" + 4y= 8

A: According to our guidelines we can answer only three subparts, or first question and rest can be…

Q: Solve using 3 Differential techniques: (w^2+6z^2)dw−4wzdz=0; x=6,y=9

A: follow next step

Q: Solve by homogeneous equations method (x² - 4xy - 2y²) dx + (y² + 4xy - 2x²) dy = 0

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Q: x In x dx Show that , V4 – x² dx = (2n + 3v3).

A: Part (a) Given integral is ∫12xlnxdx

Q: y™ -2y = 0 %3D

A: Given the differential equation y''''' - 2y'''' = 0. Auxiliary equation is m5 - 2m4 = 0

Q: 5. (y-2)dx-(x-y-1)dy 0

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Q: Obtain the general solution valid near the origin: 8x?y" +10xy' -(1+x)y=0

A: Power series solution of the differential equation

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.