Find the Gcneral Solution of the ff.: * u sing Homogen cous, Exact or Non -Ex act Formula. +) (2xy-tany)dx + (x²- X sec?y) dy = o |2) 2xy dx t (x?+y2) dy = 0

Q: X2 X, +X2 and q = 1-p waluate the following formula p, -p2 = 0, xq = 64, x2 = 13, n,= 290, ng = 304,…

A: Givenp1-p2=0x1=64x2=13n1=290n2=304

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

A:

Q: In the process of using an "auxiliary equation" to solve a homogeneous DE, the final result can be…

A: Depending on the type of roots of the auxiliary equation, there will be 3 different types of…

Q: Hind the cooffecPents + ax tb=0, where c = 3 anod x =-2 are tha roots a anod b f1om the oquatfon,

A:

Q: Find all solutions of the Diophantine equation 936x + 528y = 24. 10407357051 2023-3-10 04:02:40

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Q: . Find the general solution of the first-order equation y? – 2ry dy dr

A:

Q: What is s.t in the solution?

A: It is ' such that' .

Q: (2 + 5æ) ei dr 9, 2.

A:

Q: Solve the separable equation using the integral factor  y⁴ y¹ +y¹ + x² + 1 = 0

A: Given equation is y4y'+y'+x2+1=0solve it

Q: у" — у' — х %3 0

A:

Q: и" + 7u 3D 0

A: Given differential equation u''+7u=0we have to find general solution

Q: The equation f(x)=ex -x has a single real root. Find it using the Bisection method (do at least 2…

A: To find : The root of the equation f(x) = ex - x using bisection method.

Q: Show that ri =1+i, r2 = 1-i is a solution of (3+ i)x + (1+ i)x2 = 4 +4i %3D

A:

Q: х3 — 2х? - 5 %3D0, [1,4]

A: Sol

Q: 1. (-V6 + iv2)*

A: Let's solve.

Q: Which of the following is a general solution to the following: x²y" + xy' + (36x² − 1) y = 0 A. y =…

A: Solution:

Q: 2. Solve a-2 0 for a. No solution O a = 2 O a = 0 O a = 8

A:

Q: Solve the following Higher Order Non-homogenous DE using Methods of undetermined coefficients…

A: Given,y'' -2y' +y=3x+2A second order linear, non-homogeneous ODE has the form of   ay''+by'+cy=gxThe…

Q: 2 11 3. x*y" – 5xy'+9y= 2x

A:

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: Eliminate the arbitrary constants a. x = -In t, y = at + bt?

A:

Q: 5. Find general solution yu -Gy? +10y" = 0 %3D

A: Y(X) = c1+c2x+(A sinx+ B cosx) e3x Where c1,c2, A, B are constants.

Q: Find the general solution of (3D2 + 5DD' - 2D'2)Z = 10 cosh(2x + 5y).

A:

Q: Find the general solution of * yV - 2y" + 10y" = 0

A: Authoring guidelines: As per the authoring guidelines, we can solve only the first question.Please…

Q: Solve the equation 2sin(x) – 1 = 0 over [0, 27]. Please choose all the possible solutions. 1/2…

A: Here we have to solve the equation         2 sin(x) - 1 = 0  over [ 0, 2pi] .

Q: усхо = (x+&z+x?-1; y&1=', y'&D=z

A:

Q: 1. Solve for the variable x. F = kx – kxo A. x=F-kxg А. х- O B. x=F-kx, k F- Kxo О с.х3 C. x= D.…

A: The given equation is F=kx-kx0

Q: Q4: Selve the eqations (Asmer TWO enly a) In (y+1)+ Inty-1)= 2x+ln x b) y = e +e*

A: These are the problem of the application of mathematics. First, we will convert the given equation…

Q: Show that the equation is both Bernoulli and homogeneous. Solve this equation using the…

A:

Q: Let (x, y,) be the solution of the following equations In 2 (2x) = (3y)m3 3Inx: = 2Iny Then is

A: This is very complicated & lengthy problem.So I can do it in Advanced Mathematics.