f(x) = 3x − 1, h(x) = −2x2 + 3x − 7. f (7/3) − h(−2)

Q: Find the particular solution for y' = x3 – 2xy when x = 0, y = 1

A: We are given a differential equation: dydx=x3-2xywith the initial cobdition x=0, y=1 We can solve…

Q: 4 t2 – 4 dt -1

A: We have to find the integral using piecewise method.

Q: Find the general solution valid near x=0 (x2 + 4) y" + 2xy' -12y = 0

A: We have to solve given problem:

Q: 8x²y" + 10xy' – (1+ x)y = 0

A:

Q: Obtain the general solution y

A:

Q: 5T 1 y=-2cos(Gx+っ)+1

A: Phase shift: -5π

Q: Use variation of parameters to find a general solution: y(3) – 4y = et.

A: Given differential equation: y3-4y'=et         ...(1)

Q: Find a general solution valid near the origin: (x²+4)y" + 2xy' - 12y = 0

A:

Q: 5. Solve xdx + ydy а? (хdу-ydx) x2+y2 using exact D.E method.

A:

Q: x" – 2x' + 4x = d(t – 1) x(0) = x'(0) = 0 - -

A: For solving this question we use the table of Laplace transform and properties of Laplace transform…

Q: 2x1-x-4x₁x₂ = 0 -x + 2x3-4x₁x₂ +10x₁ = 5

A: We need to solve the following system of equations using a numerical method.…

Q: y'' - 6y' + 9y = x^-2(e^3x) using Methods of Variation of Parameters

A:

Q: Use variation of parameters to find a particular solution of y"- 2y' +y = 14xie" Yp(x)

A: y''-2y'+y=14x32ex find the roots for the homogeneous system  r2-2r+1=0 r-12=0 r-1=0 r=1 for one real…

Q: 16 dx (x-1)°(x+1)

A:

Q: Find the second derivative. 3 2. y = 7x-8x+4 e* O A. 28x-16-4 e^ O B. 16x- 28-4 e O C. 16x- 42 + 4 e…

A: A function is a relation which maps each value in its domain to exactly one value in its range. The…

Q: (-4x-12) dx For f (x+10)3(x-4)3 F(x) – 1. What is F(3)?

A:

Q: Use variation of parameters to find a particular solution of y"- 2y' + y = 14xie Yp(x) =

A: Auxiliary equation for the given equation:

Q: Q2. Solve the DE. y"" = x2sinx 1. by using inverse operator method. 2. by using variation of…

A: As per bartleby guidelines for more than one questions asked, only one questions is to be answered,…

Q: 3x2-7x+8 f(x) = Find f'(x) %3D sin (5x2+9x-6)

A: Here we use division rule of differenciation.

Q: Sx² +2x + 1 d. h(x) = 15x – 1 - VRIGH 3x + 2 e. f(x) = {x +5 x² - 5 x 4 A VI

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Q: y" -4y' + 13y :

A:

Q: Obtain the general solution valid near the origin: 8x^2y" + 10xy' − (1 + x)y = 0

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Q: der the problem maxx + 2y subject to x² + y² ≤ 1 and x + y 20

A:

Q: Find f. (Use C for the constant of the first antiderivative and D for the constant of the second…

A: We havef''x=16x3+42x−1

Q: Find the general solution using the method of undetermined coefficients. dx +7x=8e° dt -41

A: Answer

Q: Find the general solution using variation of parameters. - 4y + 4y = (x + 1)e²-

A: To solve the following problem

Q: Find the general solution of y" – y' – 2y = cosh 2t.

A:

Q: Q2\A: By using partial method solve 2x² cos x dx

A: Given :∫2x3cosxdx

Q: y' +(E- 1)y ==

A:

Q: V Solve usinog variaton of parameters or reduction of order (D²- 2D+1) y = e2"(e*+1)?

A: Solve by using variation of parameter  find auxiliary equation and then find wronskian and put in…

Q: Solve the particular solution (D2 + 3D + 5)y = 5e-x sin (2x) using D - operator method.

A: We find the particular solution of  (D2 + 3D + 5)y = 5e-x sin (2x) using D - operator method.

Q: Find the General and Particular solution of = 3y ; y = 3, when x = 0

A:

Q: f(x)=9x^3+8x^2+7x+3 F has a candidate to a point of inflection in x equals_____

A: Given function f(x) = 9x^3+8x^2+7x+3 Differentiating on both sides with respect to x f'(x) =…

Q: S2-3x', x>2 Vx -2, х <2 а) g(x)-

A: The given function is gx=2-3x3,   x&gt;2x-2,    x≤2. Sketch the graph of this function as shown…

Q: Solve f, e-+ n² dt. 6.

A:

Q: 5. Use variation of parameters method to solve а. a. y" – 2y' + y = 1+x2

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Q: 3. Find the general solution using the method of Variation of Parameters. y" + y = = sect

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Q: Find the particular solution of xy' – 2y = -x ; when x y = 5 1,

A: Recall: Consider the first differential equation                           dydx +P(x) y =Q(x)…

Q: Determine the general solution of y" - y = 0 given y₁(x) = e-2x using reduction of order

A:

Q: A particular solution of x¨ − 3x˙ + 2x = t2 + 1 is given by

A: given that x''-3x'+2x=t2+1. we need to find the particular solution for the given differential…

Q: Use variation of parameters to find the general solution of y′′−2y′+ 2y=(e^x)csc(x)

A:

Q: note that X - y +z = e2 and 4x – 3y + 2z = e2

A:

Q: Q2/ By using partial method solve fx² In x dx

A:

Q: how would I solve Suppose f(x)=7(2.1)^x and g(x)=56(1.3)^x. Solve f(x)=g(x) for x?

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Q: Xyz = 0 12. Solve: {x+ 2z = 1 2y-z 4

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Q: 1+x² »" – 2xy' + 2 y = 0 y (x)=x

A:

Q: Use variation of parameters to find a particular solution of y'' - Y = 4e-x 1-e-2x Yp (x) =

A: Solution of the differential equation, By using the method of Variation of perameters

Q: 4. Solve y"- 4y' +3y = 1 by variation of parameters. %3D 1+e-*

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.