Discretize the differential equation y " – 3y' – y = -3t, y(-1) = 0, y(1) = 0 with step-size h %3D

Q: Find the Differential equation by eliminating the arbitrary constant y= A + bex

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Q: 1. у" — 4у 3 2+ 3х — х2

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Q: ô’y (ô²y 3. 3 ôx = 0 ôx?

A: 3.Due to third order partial derivative, order is 3, and the power of this term is 1 so degree is 1.…

Q: (4) Form the differential equation by eliminating the arbitrary constants a and b from y=ae +be¯ª.

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Q: Find the general solution of the first-order linear differential equation. (Use x as your…

A: We can find the correct answer as below

Q: The standard form of the first order linear differential equation x'y'+ry +2=0is

A: The standard form of a first-order linear differential equation is:

Q: Help

A: In such problems ie second order linear differential equations when we are given one solution,y1 we…

Q: Solution of differential equation xy' - y = 0 (y' = dy/dx) is...

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Q: The Bernoulli's form of the differential equation 2x³dy-− y(y² + 3x² ]dx = 0 is

A: As per our norms we have to write one question at a time kindly repost remaining questions.

Q: Form the differential equation for the function 2x-y-Dasin(2x-b)

A: See the attachment

Q: solve the for the general solution of the differential equation( linear homologous equation): (D2 +…

A: We have to solve the differential equation: D2+2D-1y=0 The given equation is in symbolic form where,…

Q: A chemical reaction is governed by the differential equation

A: Given, the differential equation                           dxdt=K(3-x)2 where x is the concentration…

Q: Solve the differential equation using the initial condition x(0) =x,- x(t) =(Type an expression.)…

A: Given - dxdt=f(x) We need to determine each critical points and whether they are stable or unstable…

Q: Obtain the differential equation by eliminating all arbitrary constants

A: We need to eliminate constant B.

Q: Show complete solution Obtain the differential equation associated with y=Ae2x+Be2x+Ce3x

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Q: Use the initial condition to find the particular solution of the differential equation. Differential…

A: Linear differential equation is of the form linear in y                                   linear…

Q: 3ydx What is the general solution to the differential equation 3dy + = y*(2x*)dx ?

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Q: The linear Differential equation of any order if there is no constant term s present is known as?

A: We have given The linear Differential equation of any order if there is no constant term s present,…

Q: solve the for the general solution of the differential equation( linear homologous equation): y''-…

A: answer  Y = 9x22+ 3x detailed solution is given below

Q: Form a differential equation by eliminating arbitrary constants "A" and "B" from the family of…

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Q: y' - y = 2x? 3

A: Given:   y' - 3xy = 2 x2   To Find: An explicit solution of the above differential equation by…

Q: Use the initial condition to find the particular solution of the differential equation. Differential…

A: Solve the following

Q: Find the general solution of the first-order linear differential equation

A: To solve the differential equation dydx-5yx2=1x2, isolate the variables x and y.…

Q: 2. Consider the differential equation y' -()y = 2+G) t If y(0) = yo, find the particular solution to…

A: Explanation of the solution is given below...

Q: Form a differential equation by eliminating arbitrary Function. Z= (x + y)f(x² + y² ) %3D

A: Given z = (x+y)f(x2+y2)zx+y = f(x2+y2)                             (1) Partially differentiate with…

Q: y In(x) ln(y)dx + dy

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Q: y" + 2 y' + y =

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Q: Use separation of variables to find the general solution of the differential equation. (6 + x)y' =…

A: Please refer the attached image for complete solution.

Q: 2. Form the differential equation from the family of curves y² = Ax² – Bx² , where A and B are…

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Q: Determine the solution for the differential equation ry = In(x) %3D

A: By using variable Sepraible

Q: y = - is one of the solutions to the non-homogeneous Cauchy-Euler equation 1 x²y" + xy' – y x + 1…

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Q: хду + (у+ 3x)dx — 0; when x %3D1, у%3D3

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Q: Q-2. Form the first-order differential equation of ey = sinx

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Q: A population (in thousands) grows according to the differential equation dy e ky(L-y), where the…

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Q: Consider the differential equation (y + 4)y' = gʻ-16). Is y = cx + 4 the GENERAL solution to this…

A: Simply solve the given differential equation and compare with the  given solution.

Q: Consider a differential equation -y = x with initial condition y(0) = 0. Using modified Euler's…

A: considergiven differential equationdydx-y=xdydx=x+y; y0=0h=0.1

Q: 1. (х — у)dx + хdy %3D 0

A: 1) Given:            x-ydx+xdy=0           xdy=y-xdx           dydx=y-xx  set y=rx…

Q: Use the initial condition to find the particular solution of the differential equation. Differential…

A: Given query is to find the solution of the differential equations provided.

Q: Find solution of differential equation. у"+ftanx)y-e^x, У(О)-1, у (1)-0

A: The differential needs to convert in the standard form.

Q: Find the general solution of the first-order differential equation                       y cos x −…

A: Given: y-1cosx+dydx=0 for finding solution of given differential equation, we use variable separable…

Q: Find the ordinary differential equation of a circle which passes through the points (0,0) and (2,0).

A: We will find out the required differential equation for given circle.

Q: Consider the nonhomogeneous second order differential equation a°y" – xy' + y = nT +0, x > 1.

A: First we have to find the general solution of the differential equation x2y''-xy'+y=xlnx where x≠0,…

Q: Find the equilibrium point(s) for the differential equation y" =y - y2 and determine their stability

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Q: The formation of the partial differential equation by eliminating arbitrary constants a, b from the…

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Q: у" - Зу' + 2у %3Dcos(e -*)

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Q: The homogeneous linear differential equation of constant coefficients of lowest order possible for…

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Q: y' = ycotx + y²cscx

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Q: use the method of variation of parameters to determine the general solution of the given…

A: First calculate the complementary function.

Q: Solve the Differential Equation using METHODS OF UNDETERMINED COEFFICIENT: y''+y'-3y=4sin2x

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.