If y = f(x) is the solution of y"x? +y" = 2xy' +4x, f(0) = 0, f'(0) =-1, then Lütfen birini seçin: O a. f(3) = 15 O b. f(3) = 12 O c. f(3) = 6 v O d. f(3) = 9 O e. All the previous answers are not correct.

Q: Q1: Solve the following O.D.E у"- Зу'- 4у%3DЗе + 2 sin x - 8e* cos 2.x.

A: Note: We'll answer the first question since the exact one wasn't specified. Please submit a new…

Q: 2. Find the general solution of y' = x² – 2xy a. y==(x² – 1) + Cor* b. y = x² – 1) + Ce* c. y =;(x²…

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Q: Given the following linear system of ODE: V₁' = 4y1+2V2 V₂' = 10/1-4/2 what is the type of the…

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Q: 04/ Solve the Bernoulli equa 3 y +y-x'y* = 0

A: Given equation y'+(3/x)y -x^2y^4   Given equation is of the form dy/dx+py=Q(X) We will evaluate as…

Q: Show your solution: Given: y'' + 3xy' + 7y = 0 Question:Which of the following is the expression…

A: The given problem is to find the recurrence relation for a2k+1 in terms of a1 for the given…

Q: (D² + D)y =x+| ;

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Q: use Euter me thed to solve y's 2-24

A: Let us consider the given function y'=f(x,y), y(x0)=y0 Solving using the Euler method  Then the…

Q: -3/2 -¹² (2²³ + 2x) da with y(0) = 0, y(3/2) = 1. (c) J[y] = =

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Q: can you show me a simple step by step method to solve this ode:   Solve y′ =y/x^2+y^2  Solve y′ =…

A: Step 1:Step 2:

Q: x² + y? Solve y'= xy

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Q: Solve 2 secx- 5 secx+ 2 = 0 on the interval x e [0, 2x] %3D

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Q: x2y" + xy' – x²y = 0

A: We have to solve second order differential equation Here given differential equation is second order…

Q: Which of the following functions are solutions of the DE y-4ry 0? (a) y 5z2 (b) y= e2 (c) y=3e1 (d)…

A: The given differential equation is Compare the above DE by general form of linear DE such that

Q: Which of the following functions is a solution of x²y" + 5xy' -21y = 0. (а) у(х) — sinx (b) y(x) =…

A: here option c is true

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: I. Evaluate the following expression: A. Given x = 2.0 and y = 3.0, what is the output of the…

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

Q: Determine the general/particular solution (whichever applies): y''+ 4y'+ 4y = (3+x)e-2x, when x = 0,…

A: y''+4y'+4y=3+xe-2x

Q: Find the general solution: (x² D² + 6xD+6I)y= x²?. Select one: O a. y = 20 0 -3x O b. y = (c1 +…

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Q: PLEASE HELP ME ANSWER WITH SOLUTION    18

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Q: Solve using the method of undetermined coefficients: y" + 3y" – 10y' = 2 + xe* %3D

A: Given: y''' + 3y'' - 10y' = 2 + xex

Q: Find the coefficients of complex exponential Fourier series for the function: 0 if x = [-pi, 0] sin…

A: As per the question we are given a piece-wise defined function f(x) and we have to find its…

Q: (a) f = (b) f = (c) f = (d) f = (e) f e²t 3e2t [4e-4t [2e51] est est cos(t) e³ sin(21) 20 A 1 43

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Q: Use simpson's '/3 mile to numerically From 0 to Tu. Show your solution : 14 12 Xo:6 f(x0):8 f (x₁)…

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Q: If y1=x2+x°is a solution for x²y"-4xy'+6y=0, then the second solution is Select one: a. -In(x+1) O…

A: we have to solve given problem:

Q: b\ Find the domain of the functions: (1) y = (2) y = = (3)f(x) =

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Q: Given f(x)=3x^2 + 4x + 5, determine the roots of the function. Verify them with a graph.

A: An algebraic expression is obtained by combining numbers and variables together with arithmetic…

Q: Let a +0 be any real number different from 0. If y = f(x) is the solution of y" – ay" = -48+48ax,…

A: the given differential equation is  y'''- a y''= -48 + 48 a x      .....(1) the associated…

Q: Q2: Solve the ODE =n, x²y" + xy' - y = - x+1

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Q: -S"L cos(2x + 3y + 4z)dzdydx = The first question: If find after solution Integration The value of…

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Q: The values of m for which y = x" is a solution of x² y" – 7xy' + 12y = 0 are (Select the correct…

A: As the given value of Y is the solution of the equation that's why the value of Y should satisfy the…

Q: 2 V4-x2 e*²+y* dydx =? -2 0

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Q: 5. The particular solution (when x = 1, y = 0) of y e* + xe* + 6^-4 dx - y cos y e* - 4 + dy = 0 has…

A: Exact differential equation

Q: f(x, y) = x2 - y2 Minimize: %3D Constraint: х — 8y + 126 %3D 0

A: Please see the explanation below

Q: u? – 1 du J2x u² + 1 3x - 56. g(x) :

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Q: Q22// find the general solution x³ + 2y³ + x²y x3 + 2xy² dx

A:

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.