g(x)=3x-4g(x)=3x−4, find g(1)g(1).

Q: Solve x2(y-z) p +y2(z-x)q=z2(x-y)

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Q: Solve the equation for x. (ex)2 . e2-3x = 4

A: Given equation: ex2×e2-3x=4

Q: Find the general solution:  2. xy' - y = √x^2-y^2

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Q: Using iterative method, solve g(x) = f(x)+ 2 [ e*g()a %3D

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Q: find the general solution. 6y'' - y' - y = 0

A: Given differential equation ,6y''-y'-y=0

Q: 3.lf g(x)=x* – 2x³ – 7x2 + 8x + 16, find f(3).

A: Given that, fx=x4-2x3-7x2+8x+16 We have to find f(3).

Q: B1(b): Solve the initial value problem : f'(x) = x° + 12x + 13 and f(0) = 3.

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Q: x²dydx 2. Solve: S x²+y²

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Q: Solve x2(y-z) p +y2(z-x)=z2(x-y)

A: value of P given below..

Q: Using variation of parameters, solve: y''- 2y' + y = (e^x)/ x

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Q: Find general solution of " – y – 2y = e2t

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Q: | 2x²+ 4x- 5 x(x² +6x+10)? * To solve | -dx using the method of partial fractions, we write it as

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Q: Solve the initial value problem: f(x)-x7+12x+17 and f(0)=3.

A: We will rearrange and then integrate both sides to find the solution of the given initial value…

Q: Find the general solution of (D3-D2+D-1)y = 15sin2x using method of undetermined coefficient.

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Q: 2xyy' 1+ y2 What is the general solution?

A: The solution is given as

Q: x3-2x2+7x-9 dx c.S x2

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Q: bx-'x5/cxfx1 b-1 (x"x/c 1/b (e) 6x0.2 = 5y0.4 (solve for y in terms of x) %3D x = (2-1/2)-1/2 (solve…

A: Since you have posted multiple sub parts, as per our policy we will answer first three subparts.…

Q: Using Separation of Variable, solve xy3dx + (y+1)e-xdy

A: On solving this we will get

Q: f(x)= .5x^2+4x-10 How do you find this using the secant method?

A: In this problem we will use the secant method

Q: Find the general solution to x”-3x’+2x = e^t

A: First we find complementary function then particular integral and then general solution.

Q: Eliminate the arbitrary constants of the general solution: В y = Ax3 + + CVx x2

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Q: Solve the nonlinear equation f(x) = e*-3x using: %3D

A: Muller method

Q: Determine the general solution: y' = x - 2y. *

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Q: Using partial equation, solve for: xy3dx + (y+1)e -xdy =0

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Q: Solve using the chain rule f(x) = 6/2x – 5 12 A. 6V2x- 5 В. 2х-5 6. C. 12x/2x –5 С. D. V2x-5 - O A O…

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Q: e²–3¤ /1 – y² given that wher

A: Given that, dy/dx = e^(2 - 3x) . sqrt (1 - y^2) Then we get, dy/[sqrt (1 - y^2)] = e^(2 - 3x) dx…

Q: e-) 1-2x - x2

A:

Q: Find the solution. 6y-2y = xy (x-1)+e B -1)-a

A: Solution

Q: Find d^3/dx3(lnx/x2)

A: Given: d3dx3ln xx2  ……1

Q: Solve equation for X E3 ax. 3x %3D /3 +20

A: We assume "z" then substitute in the given equation and solve for z by factoring

Q: a. Solve x2 + 2x-y+1%30 and x + y-1=0 using Elimination Method

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Q: y' = (4x + y)?

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Q: Find the auxiliary equation with constant coefficients satisfied by  e^2x , e^-x , e^3x , e^5x

A: Let's find.

Q: Q4\ Solve by Gaussian elimination x-4y-2z = 21 2x+y+2z = 3 3x+2y-z = -2

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Q: e* +x² – 2x + 4 f(x) = %3D 6.

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Q: 2. Find the stability of the difference equation xn = Xn-1+¤n-2.

A: By theorem,            Let the 2nd order homogeneous differential equation is,…

Q: Q4\ Solve by Gaussian elimination x - 4y - 2z = 21 2x+y + 2z = 3 3x+2y-z = -2

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Q: Find general solution y = Yc + Yp of y(3) + y" 3e" + 4x2

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Q: x5-2x2 dx (ii) J Tr6-4x3

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Q: b. Solve y = -x³ + x² + x- 3 and y = x-3 using Substitution Method. I

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Q: g(x)=-3x^2-x+3, solve g(x)>0

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Q: g(x)=6x-x² h(x)=x(vx+1)

A: Consider the given figure as

Q: Solve dʻy - 2x- xe 2x– xe dx² by using the undetermined coefficient method.

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Q: Use variation of parameters to solve y'' - 7y' +10y= e^2x.

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Q: How to solve this equation y" - 4y" + 2y' - 16y = 4x + 1 using Variation of Parameters.

A: Step:-1 Given that y'''-4y''+2y'-16y=4x+1 For complementary function, The auxiliary equation is…

Q: g(x,y)= 4/4y-6x^2 {(x,y)|y doesn’t equal?

A: Given g(x,y)=44y-6x2 We need to find those values of y for which the function will not exist.

Q: Solve y"-2y't3y =eľ tang

A: Use the formulas of solving second order differential equations. A solution is a sum of…

Q: Find an approximate solution to the nonlinear algebraic equation 4x-x³ = P P=2.5

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Q: Find the general solution of (2x –y) = 2y – x

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Q: find the solution of y''-2y'=x - e^3x

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.