What's the solution of the following ODE y/ - 4 y = x a. C1 e* + C2 e* - 1/8 + x²/4 b. C1 e2x + C2 e 2x - 1/8 - x2/4 C. others d. C1 ex + C2 e* + 1/8 - x²/4 e. C1 e2x - C2 e2x - 1/8 + x²/4 f. C1 e2x + C2 e 2x - 1/8 g. C1 e2x + C2 e 2x - x²/4

Q: Find the general solution of the following Nonlinear first-order ODE. (Show the detail of your…

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Q: Suppose I have the ODE x²y" – xy' + y = 0 and I tell you that y = x is a solution. What is the…

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Q: What's the solution of the following homogeneous ODE У"+ 8y + 16у %3 0 (C1 + C2) e* а. b. others Ос.…

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Q: Suppose my new MyPhone cellphone costs $700, and depreciates in value by $30 per month. A new Cyborg…

A: We  are asked to write the formula for the given information.

Q: The solution of the following ODE y (3) -y'=0 is defined by

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Q: Find the general solution of the following Nonlinear first-order ODE.(show the detail of your work).…

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Q: What is the general solution of the following ODE * (x² + xy − y²)dx + (²x² − 2xy) dy = 0 1 1 x³ +…

A: We know that the equation is of the form of  Mdx+ Ndy = 0  We will check whether the equation is…

Q: Solve the First ODE (3y* – x*)dx = 3xy'dy || 4-4ln(2x)+c А-у %3D 4 4-4ln(x)+c B- y = 2 4-4ln(x)+c C-…

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Q: Consider the following ODE, 4x²y" — 4xy' + 3y = 0 (a) Find the general solution y(x) = Ay₁(x)…

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Q: Find the general solution of the following Nonlinear first-order ODE.(show the deta your work).…

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Q: Which of the following functions do not form a set of fundamental solutions of y" – 4y = 0 Select…

A: We will check every option one by one to find out whether they satisfy our given differential…

Q: Find ODE having the given function as its general solution. y = ae^x + b ln(x) + cx + d this means…

A: Consider the following equation: y=aex+blnx+cx+d Differentiate the above equation with respect to x:…

Q: What is the general solution of the following ODE * (x² + xy - y²) dx + (1²/7 -(x² - 2xy) dy = 0

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Q: Find the general solution of the given ODE.

A: Given differential equation is y'=1+x1+y2dydx=1+x1+y2dy1+y2=1+xdx

Q: In a certain inhomogeneous linear ODE +...+ am (t)y= f(t), the functions y = t and y = t +t² are…

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Q: The nh³ (2x) sech (2x) dx is equal to O A. sech³ (2x) sech³(2x) +C 3 10 O B. tanh°(2x) +C OC. sech³…

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Q: What is the solution of the given ODE * xy' + y = √x

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Q: The general solution for the ODE -2y+y

A: The correct answer is option c  and the solution follows as

Q: What is the general solution of the following ODE* 3 points (x² + xy – y*)dx + (;x² – 2xy) dy = 0

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Q: Q3 / Find the solution of non-linear ODES below: y' +xy = 2xy %3D

A: The general solution of the differential equation is as follows below:

Q: Thê sùm of the digits ôf 3-digit number īs 12, the hundreds digit is the twice the únit digit. If…

A: The sum of the digits of 3-digit number is 12, the hundreds digit is the twice the unit digit. If…

Q: Solve the tollowing ODES by variation of parameters method: 2X 2 2X Anse u-cé

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Q: What's the solution of the following homogeneous ODE y + 8y + 16y = 0 a. (C, + C2) e4x b. (C, + C2…

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Q: 0 Solve the following ODES by Undetermined Coeff. "Y -zy - 4y + H -3X 2 ³x + 8 x + 8y = = 2X <-2X…

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Q: This is homogenous ODE dy_ (2xy² + yx³) (r' + y') dx Select one: True False II

A: ODE is homogenous if     f(x,y) = λ⁰ f(x,y)

Q: Select the solution of the second order ODE shown below * y" + 5 y' + 6y = 0 Ye = C1e¬3x + c;e-2x…

A: Given: y''+5y'+6=0

Q: If ODE of 2nd order and ye = c1 e²× + c2 e3* ‚Yp = 2 x + 3 e-2x, the suggested y, is:

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Q: Find the general solution for the following second-order ODE as a D-operator form: (D² – 3)y = 0

A: The polynomial differential operator is

Q: Find the general solution to the given ODE: y' + 2xy = 6x

A: Please see the solution below.

Q: Q5. Find a general solution for the following second order non homogenous ODES. y"-4y' + 4y = 2e²x +…

A: Given: y''-4y'+4y=2e2x+4x-12 So, we can also write as; D2-4D+4y=2e2x+4x-12 The auxiliary equation…

Q: What is the value of C when the initial condition is y(2) = -1 for the exact ODE below (2ry + y) =…

A: the standard form of the differential equation  M(x,y)dx + N(x,y)dy =0 is said to be the exact…

Q: Find the general solution of the following ODE. y+3y" - 4y = x

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Q: Q4. , Solve the following ODE nt'x (t) + 0.5nt x'(t) + nx(t) + 4tx (t) = 0. Where n is 5

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Q: In (y*) y' = 3 x²y

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Q: Find the particular solution of the given ODE.* ( y − √√x² + y²) dx − xdy = 0 when z = - √(x² + y²)…

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Q: xy' + y = √x

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Q: Find the general solution for the following second-order ODE as a D-operator form (D² – 3)y = 0

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Q: What is the general solution of the following ODE / - = 3r"

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Q: then a 2 d det b 2 e с 2 f 5 d a det b 7 e C 9 f C = = and a 1 d a 1 d] ----- det b 1 e = -5, and…

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Q: 4.) Give the general solution of the following ODE: x" + 3x - 4x = 0.

A: Given is the ODE x''+3x'-4x=0 The objective is to find the general solution.

Q: Find (if possible) the general solution of each of the following 2nd-order ODES by trying y = e^*.…

A: Topic-differential equations

Q: Which of the following functions do not form a set of fundamental solutions of y" – 4y = 0 Select…

A: We have to find fundamental solution

Q: Solve the following ODES by Undetermined Coeff. X X A 1 3X 2 • Y -2y = 4y + 8y = 2³x + 8x² - + 2X -…

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Q: [F(x, х, х, х) — х] (х— х) — b K5 x- e-d <{x- [Ks – 1] (e– d) S {* x (е- d) [Кз — 1]—Ь e- d | | 1…

A: Algebraic identity: Algebraic identity for the square of the difference of any two algebraic…

Q: Find the general solution of the following ODE: y''' − y''− y'+ y = 0.

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Q: 2* If ODE of 2nd order and y. 2 x + 3 e-2x, the suggested y, is: C e2x + c2 e3x Yp = Yp = a, x + a2…

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Q: 1- find y' for y =5x-3/x^2+2x. 2- find y' for y=(1+x-x^2)e^x.

A: 1- find y' for y =5x-3/x^2+2x. 2- find y' for y=(1+x-x^2)e^x.

Q: Consider the ODE: y" -5y = 2x3 2.x3 4x2 – x +6 While solving this ODE using the method of…

A: We have to consider the ODE: y" - 5y' = 2x3 - 4x2-x+6