the following equations: a) -20xt+1+50x; = 16 – 2xt+2 given x(0) = 1;x(1) = 5 %3D dy b) – 4ty = (-4t + 1) et² %3D dt

Q: Solve the following EDO (Homogeneous) d) y³dx + 2(x³ – xy²)dy = 0

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Q: The solution of the 2" order IVP y" - y = 0, y(0) = 0 and y' (0) = 1 is

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Q: Find the general solution of x(x + 3)dy = 2dy + √(9- y²)(12x + 9 + 4x²) dx.

A: We will separate variables and then will integrate it to find general solution of given differential…

Q: Consider the following IVP: y"-3y'+2y = e*; y(0) = 0, y'(0) = 0 Find the general solution.

A: We solve the given DE  y"-3y'+2y=e3t.......(1) y(0)=y'(0)=0......(2)

Q: Find a continous solution satisfying the equation and the initial condition (1+x²)y/ +2.ry = P(x) r,…

A: we have given a first order differential equation with piecewise function P(x) we need to find a…

Q: Obtain the general solution. xy3dx+ex^2dy=0

A: The given differential equation is xy3dx+ex2dy=0. We have to obtain a general solution.

Q: find the general solution of the given equation. 3y'' - y' = 0

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Q: solve the following system. dx1/dt= 2x1-5x2-cost dx2/dt= x1-2x2+sint a)by using the method of the…

A: Since you have posted multiple questions but according to guidelines we will solve the first…

Q: Find the general Solution of DES: x yy'= x +3y

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Q: Find the solution of the initial value problem. 2y" - Зу' + у%3D0, у(0) %3D 2, y'(0) =

A: Here first we write an auxiliary equation of a given differential equation then  finding roots of…

Q: Question 2 Determine the general solution. x (dy/dx) = 2 - 4x^3. O y=lnx-(1/3) x^2 + c Oy=2…

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Q: Obtain the general solution of the following equations:    2y(x2-y+x)dx-(x2-2y)dy=0

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Q: ....** ........* The equation y2 = cx constitutes an implicit general solution to the DE: %3D Select…

A: y2=Cxy2x=C differentiating  both side  dx-1y2dx=dcdx

Q: fin the general solution of (x+2y-4)dx - (2x+5-y)dy=0

A: Please see the below picture for detailed solution.

Q: The general solution to d?y/dt2 = 25y is

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Q: Obtain the general solution of the following equations:   (x-4y-9)dx-(4x+y-2)dy=0

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Q: Find solutions of the following equations b 4. 22+ af af 5. у- af = 0 = 0 dt dy

A: We will use method of  characteristics to solve the 1st order given differential equation

Q: Consider the problem y' =1-2.xy, y(0) = 0 . %3D Find the solution of this D.E.

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Solve the following Euler-Cauchy type equation: 1 (x² D² + 3xD+ 1)y = - 3xD+ 1)y = (1 – x)² ' d…

A: Given equation is, x2D2+3xD+1y=1(1-x)2 Take, (x2D2+3xD+1)y=0 Then assume, y=xn,…

Q: An equation that considers both the above assumptions is dP P kP(1 M - dt

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Q: Obtain general solution of the D.E. y' + (1/3)y = e*yª A 1/y³ = e* (c – 3y) B 1/y³ = e* (c – 3x) с)…

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Q: Find the general solution of (x^2+x)dy=3dx

A: Given difeerential equation, (x2+x)dy=3dx

Q: (2y +4x)dx- xydy=0 y(1)= -2

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

A: Solution:-

Q: Assuming that a DE has a general solution a+y= 3r +C, what is the particular solution at given the…

A: The given differential equation has a general solution is x+y=3x+C. Calculate the particular…

Q: 6. Compute S -dx x²-4

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Q: y' -y"

A: According to our company policy, we are supposed to answer only one question at a time. For the rest…

Q: 2 4. Find the general solution of (x + y') dx = А. -3x3 + 2y) %3D Сх В. 7x3 + 2y %3D Сх Зху" dy С.…

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Q: Solve the following initial value problem and present its particular solution: 2. y" + y' – 2y = 0,…

A: As per our company guidelines, we can solve first question for you. If you want other question to be…

Q: Solve the following initial value problem by the method of separation of variables. dy 2x+1 ,y(0) =…

A: To solve the given initial value problem.

Q: Find the general solution of the given DE. y"-2y"-y'+ 2y 0 %D

A: NOTE: Refresh your page if you can't see any equations. . the auxiliary equation is given by

Q: x²y"+xy'-y= x 2

A: Given Cauchy-Euler equation is x2y''+xy'-y=x.

Q: What is the general solution of ху(ху5 - 1) dx + х?(1+ ху)dy3D0 ? A 2x3y5-3x² = cy? B 2x°y3 - 3x2 =…

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Q: Solve the given initial-value problem. 4x у" + 4y' + 5у %3D 35е *, у(0) %3D -6, у'(0) %3 1 y(x) =

A: We have to solve given problem:

Q: 2. Find the general solution of y' = eY(4x – 2). %3D |

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Q: 1. The complementary equation to dt² + dy + 4y = 5e-³t is:

A: Solution is here

Q: Find the family of solutions of the equation (x2y5 + y3)dx + (x3y4 + x)dy = 0

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Q: 5x + 3y+9z= −1 −2x + 3y -z = -2 -x- 4y + 5z = 1

A: The following steps are used to obtain the solution of the system of equations by Gauss-elimination…

Q: Solve the following initial value problem: y" – 6y' + 13y = 0, y(a) = b, y'(c) = d %3D %3D -

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Q: Find the general solution of the DE below. y(1) + y “ + y“ = 0 יינ

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Q: Find the general solution to the DE using the method of Variation of Parameters 8 у" — 4у 3D e 2x +…

A: Introduction: The formula of the particular solution by the variation of the parameter of the…

Q: Use variation of parameters d²y +pdty+94=Fx) plem) to find a particular solution to y" – 2y - 15y =…

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Q: Solve for the general solution. d³x dx -7. - + 6x = 0 dt3 dt

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Q: OBTAIN THE GENERAL SOLUTION (x - 1) dx - (3x - 2y - 5) dy = 0

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Q: 1: Find the general solution of the following equations: I. dy_2r+2y-3 X-y-1

A: