4. What is the differential equation of the given functions? • y = Ce-* + Cze-2x + x y = Ce2* + C2e-*

Q: 2. x²y' – 2xy = x* + 3; y = 2 when x = 1

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Q: 2. Solve Bernoulli differential equation of y' + xy = xy².

A: We need to solve the differential equation.

Q: 8. The differential equation (2x-xy-2y+3}dx-(x*y+2xkty = 0 is exact because ÔM ON

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Q: The dependent variable y is missing in the given differential equation. Proceed as in Example 1 and…

A: To solve this differential equation, substitute y'=u

Q: yf – ty = x²cos(x)

A: The given differential equation is y'-1xy=x2cosx that is a linear differential equation. Integrating…

Q: 5.Find the general solution of the differential equation y'=x-y+3/x-y

A:

Q: When solving the nonhomogeneous differential equation y" - 4y' + 4y = x by undetermined coefficients…

A: To solve the following problem

Q: Suppose that f(t) is a solution of the differential equationy′ = ty - 5 and the graph of f(t) passes…

A: Given, y'=ty-5 And f(t) is a solution of the differential equation. The graph of f(t) passes through…

Q: 2. Solve the differential equation (3x2 – x³ + 3y – 3.ry – y°)d.x + 3(x + y²)dy= 0, - -

A: Disclaimer: Since, you have requested for a handwritten solution and currently we are not providing…

Q: 5. Use a substitution to solve the nonlinear differential equation: (y + 1)y" = (y )²

A: We have to evaluate: (y(x) + 1) ( d^2 y(x))/( dx^2) = (( dy(x))/( dx))^2:Treating y as the…

Q: 3. If the general solution to a second-order differential equation is given by cie + ce-5, find the…

A: In the question it is asked to solve the differential equations with initial values given.

Q: 1. Determine the solution of the differential equation y' - yx = -x given that y (0)=X

A: Part 2 number 1 To solve: The differential equation is y'-yx=-x,y0=X Calculation: Solve the…

Q: 5. By using separable differential equation, solve the initial-value problem 2x(y + 1)dx -y dy= 0,…

A:

Q: 2-The exact solution of differential equation ý--4y with y(0)-1 is (a) 2e-4x (b) e-4x (c) e-4x +1…

A: As per as our guideline i am supposed to answer only one question from all these question . To get…

Q: 4.Determine if the given function is a solution of the given differential equation

A:

Q: (9) Show that the solution of the differential equation y + y = -6ye» with y(0) = -1 is (e* –…

A:

Q: 2. The differential equation (4x'y'-6x'y-2r-3)dr +(2x*y-2x' ty = 0 is exact because aN

A:

Q: 5. Find the general solution to the differential equation et y" – 2y' + y 1+ x2 (where y' = )

A: Let us consider the differential equation y''+py'+q=g(x) To solve the equation  Determine the…

Q: 1 Verify if y = -+; xy + y = x² is a solution of a differential equation.

A: We have to verify the solution

Q: 5. The differential equation (3x'e' - 2xx+ (r'e' -sin y ldy = 0 is exact because ON

A: Partial differentiation is needed to be done after identifying M and N

Q: 5. Find the general solution of the differential equation y=(2y4+2x)y'.

A: Given differentiatial equation: y = (2y^4+2x)y'  Here y'= dy/dx

Q: 2. Test the exactness and obtain the general solution of the differential equation: 2+yexy y' =…

A:

Q: Find the general solution of the given higher-order differential equation. du + + 6- drs dr4 12- dr2…

A:

Q: If we use the method of variation of parameters, the particular solution of the following…

A: We have to assume the appropriate solution first.

Q: 5. Solve the differential equation with method of undetermined coefficients. y" + 2y' – 3y = x + cos…

A:

Q: 5. If the characteristic equation of the differential equation 27 - 184 dx +8- y-0 is dx 27m -18m…

A: The characteristic equation of the given differential equation is 27m4-18m2+8m-1=0.

Q: 1. What can you say about a solution of the equation y' = 49y² just by looking at the differential…

A: Given that : y' = 49y2. This is a differential equation and we find solution of this differential…

Q: 4 By using separable variable method, find the general solution of the differential equation dy _y…

A:

Q: Find the general solution of the differential equation y + 18xy* = 0 using separation of variables.…

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Q: 9. What is the particular solution of the linear differential equation ,3 Y = x° – 2xy; when x = 1,…

A:

Q: 1.) Find the general solution to the first order differential equation given below. -3x 3xe 2x y' 4y

A: In the given question we have to solve the given ordinary differential equation of first order and…

Q: 3. Obtain the differential equation of the family of straight lines passing through (0.1). SAdd File

A:

Q: 2- Find the solution of these differential equations : 1. (x – y) = x + y dy dr

A:

Q: 1. The order of the differential equation 5x- d'y aty + 3x + w'y = 0 is

A:

Q: 3. Given that y = 1 when x=-1, find particular solution to differential equation dx dy – 3x²y² =…

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Q: What is the degree and order of the differential equation (y") + (y")° + (y')' + 8 = 0 O degree 3…

A: (y''')4+(y'')6+(y')7+8=0

Q: 18. The solution of the differential equation 2xy = x² + 3y² when y(1) = 3 is dx

A:

Q: 8 Find the general solution of the differential equation: xy' + y: X Use lower case c for constant…

A: Given : xy'+y=8x+9x Following formulas are used- ∫1xdx=lnx∫xndx=xn+1  n+1

Q: 19. The differential equation (2xy - y^2+ y) dx + (3x^2 - 4xy + 3x) = 0 is

A:

Q: 8. The differential equation (2x' -xy² -2y+3dx-(x'y+ 2x)dy =0 is exact because ON

A: Given:     Differential equation 2x3-xy2-2y+3dx-x2y+2xdy=0 The differential equation is exact if…

Q: Find the solution of the following Differential Equations by homogenous equation 7) y'=(y-x)

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

Q: (9))(y– 2x)y' = y %3D

A:

Q: 2+ yеху y' : 2у — хеху

A: The given differential equation is:…

Q: y" – 2y' + y = -3 - x+x².

A:

Q: 8- The solution of differential equation y" + 4y = 0 is.

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: What is the particular solution of the differential equation y" + 2y" – 5y' – 6y = 5e?? Particular…

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Q: 5. In the differential equation 2rydx + (y² -xy-0. what is -- 心

A: Solution

Q: 3) Find the solution of the differential equation y = -ry + (/')².

A: The given differential equation is. y=-xy'+y'2                                .........1 This can be…

Q: 20.Find the particular solution of the differential equation x +1) = x3 – 2y, given x = 1 dx when y…

A: We have to find general solution of given differential equation with initial condition.

Q: What is the solution to the equation for the differential equation x^(2)y''+3xy'+y=0

A: The given problem is to solve the given differential equation , the given differential equation is…