3 If f(x) = 4x° + Ax + 5x - 5 and f(2) = 7, what is the value of A? (Simplify your answer.)

Q: Ⓒ Solve зик subject to + 2x x = 0 u(x,0) = in Rx [0,00) n(x)

A:

Q: Q2 Solve the equation f(x) = x e*-1, Using the false position method in [0,1], with e=|X4-X+1|=0.05

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Q: By using the unlimited coefficients method, choose the correct answer for this equation…

A: We have to find the correct option.

Q: 14. If f(z) = 2 + z² – zª, then the equation S(x) = 0has a solution on the interval A [1,2] B (0,1]…

A: We will make use of the fact that for f to have a solution in an interval it must be that f has…

Q: 3. Determine the general solution. a) y"–2y' – 3y= e* b) y"+9y= cos x

A:

Q: The general solution of xdx + ydy + xdy-ydx x2+y? = 0 is (a) x2 + y2- 2tan-1 (2) =c (b) x2 + y2 +…

A:

Q: 2. Using the variation of parameters, find the particular solution of (D² + 1)y = sec x

A: By the method of Variation of perameters

Q: Q2:- Find the domain and the range of the following equations:- (1)W = (2)W = sin x y (3)W = xy (4)W…

A: Find the domain and range of the following. Note- Since multiple questions are asked, I will answer…

Q: ?The Third Equation for i3 7in+12i3-=-3-O 5i1+12i3=0- Zir-4i2+16i3=-3- 0

A:

Q: a) Find the general solution of the equation dªy dy dx² 4- x2 + 3e* - dr4 by using the method of…

A: As you have posted multiple parts,but they are independent so according to our guidelines we will…

Q: (a) If e 2: f(2) 8 + 50 at how many points the function f (z)s discontinuous ? (b) If f(2) = (20 +…

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Q: Obtain the general solution: 1. (D² + 25)y = -50 sin 5x

A: First we will find the complementary solution corresponding to the homogeneous part of the…

Q: 31 Solve by the Method of Variation of Parameters: y" – 3 y' + 2y = cos e t

A:

Q: where Z₁-WN(0,0). Assume you know that E(X)=3,u= 1 and ² = 1. What is the value of $?

A:

Q: Q6. Use the method of Variation of parameters to solve (i) y" +y : tan x.

A:

Q: Find the solution. (D4+2D³ + 10D²)y =0. y = c,+c,x+e¯*(c,cos3x +c,sin3x) C B y = (c,+c,)x+e-(c,cos3x…

A: Given Differential equation is D2+2D3+10D2y = 0

Q: What is the value of the arbitrary constant C if the given DE is y' = 2(2x – y) which passes through…

A:

Q: [Q4] Applying the method of variation of parameters, solve x'y" - 2xy'+2 y = x' sin x

A: The solution is given as

Q: An isolated bar is kept at zero temperature at its ends. If it's given initially 02y ax2…

A:

Q: Determine the appropriate form for a particular solution of the fifth-order equation(D - 2)3 (D2 +…

A: Given differential equation is D−23D2+92y=x2e2x+xsin3x......1. We have to determine the appropriate…

Q: 3. Find the general solutions of, x+y dx x-y, a.

A: We have to solve the given differential equation.

Q: The general solution of the equation (Dª +D²)y= - 12 is А y=c1 + c2x + C3cosx + Cąsinx – 6x2 y= c1 +…

A:

Q: 1 dz, C:k – 3i] = 3 z² +4z + 13

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: 4. Give the graphical significance of the constant k for the equations of the form y=(x-h)³ +k

A: Given curve is y=(x-h)3+k

Q: x³ Vx² + 1 dx

A:

Q: Q5. Use the method of undetermined coefficients to solve (a) y" +2y' + y = x²e¬ª. (b) у" — 2у/ + 5у…

A: We are entitled to solve only one question at a time. As the specified one is not mentioned, So we…

Q: The general solution of the equation (D*+D)y=-12 is y-+x+ccosx + c,ainx +6x ® y-c, + cx + cycosx +…

A:

Q: Except for degenerate cases, the equation Ax2 + Bxy + Cy2 + Dx + Ey + F = 0 defines a(n) _______ if…

A: Given: Except for degenerate cases, the equation Ax2 + Bxy + Cy2 + Dx + Ey + F = 0 defines a(n)…

Q: z-2x t if f(x,y,z,t) = 3x?y Ex. 3. Find дгдхдудt

A:

Q: x²y"+xy'-y= x 2

A: Given Cauchy-Euler equation is x2y''+xy'-y=x.

Q: Consider the equation y' + 5y = 2. Show that the function o given by: %3D 2 $(x) is a solution,…

A: Given y'+5y=2 We have to find ∅x

Q: Example: Find the general solution of the equation a²z = e2x+3y + sin(x- 2y), H.W. +2 дхду

A: Given partial differential equation is ∂2z∂x2−3∂2z∂x∂y+2∂2z∂y2=e2x+3y+sinx−2y......1. We have to…

Q: Find all a E R for which the given equation does not have a solution: а — 5 7+ 3a 2ах —5 - - x +1 х…

A: Find all a∈ℝ for which the given equation does not have a solution: a-5x+1-7+3ax-2=2ax-5x2-x-2 Cross…

Q: If e-x, xe-x are the solutions of y''+ay'+by=0 then, what are the values of a and b.

A: To find- If e-x, xe-x are the solutions of y'' + ay' + by = 0 then, what are the values of a and b.

Q: Of the solutions to the three di↵erential equations above which one is increasing at (1, 1)? Explain…

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Q: Solve (D2 + 4) y = 5e" – 4x. - y = ce=2» + cze2" +2xe2" + 3 y = c1 sin 2x + c2 cos 2x + e® y = c1 +…

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Q: Obtain the general solution using variation of parameters. (D^2 − 1)y = e^x + 1

A:

Q: Q2-5 * Solve the he (D-3D+2)y(x)= sin(e™") equation

A:

Q: Q2: Find General Solution (YGS)to the equation (Yª-1) Y=COS(2x)

A: From the given information. The given differential equation is as follows.

Q: Obtain the general solution: 1. (D² +25)y = -50 sin 5x

A: Using method of linear differential equations with constant coefficient.

Q: 2. Find the general solution. y' + sec x y = cos x. а. b. y' +y =÷(e* -e-*).

A:

Q: Find the general solution of y' = y sec x

A: Given, The differential equation y'=ysecx We have to find the general solution.

Q: 5. Give the graphical significance of the constant a for the equations of the form y-a(x-h)²+k.

A: We have to discuss the graphical significance of given equation.

Q: Find the general solution of the di f ferential equation *+ x .2 d²y + (x² – )y = 0.

A:

Q: Q1. Solve y +8y" + 16 y=-sin x

A:

Q: (b) Solve y -4y = (r – 3) sin 2x, by the method of undetermined coefficients.

A:

Q: SOLVE THE NHLDECC USING UNDETERMINED COEFFICIENT. (D³ + 4D² + 9D + 10)y = -24e-* when x = 0,y = 0,…

A: Topic:- solutions of differential equations

Q: 12. What is the equation of horizontal axis of the function f (x) = 2(3 sin x + 2)? a. y = 6 b. y =…

A: For the given function

Q: Q6. Use the method of Variation of parameters to solve (i) y" + y = tan x.

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

Q: 2 = 3x° (7 + y²) dx

A: Here equation is separable so w separate them and apply integration.