If A = and if xy = 1, then det ( AAT) is equal to y a

Q: The general solution to the DE + Py =0 is dx dy A) y = Px+ C в y= Ce-Px y = Px D y= CEPX

A: Given:- dy/dx +py = 0 To find:- General solution of given differential equation

Q: In Bernoulli equation y' - xy = xy³, the value of 1(x) is ex² False True O

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Q: xarctanydx + dy = 0 2(1+ y²)

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Q: 4x Compute (2x + 4yz) dz dæ dy 1

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Q: 2. Assuming that y is defined implicitly by the equation: x?exy +y/x + y = 5 dy Determine dx

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Q: Find the complete solution of dy + dz = 3z'ydz

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Q: If w = (y-z)(z-x )(x-y),find the value of dw, dw, dw +- Z-X + dx dy dz

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Q: (у — ӕ + хусotx)dx + zdy — 0 y(0)= 3

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Q: Find the general solution of the given Attached equation

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Q: If yo is the particular solution of dy 4x y, y(0) = 3, dx find the value of yo(2).

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Q: If z is directly proportional to the product of x and y and if z is 10 when x is 4 and y is 5, then…

A: To determine: The equation z=_____ Given information: If z is directly proportional to the product…

Q: Find a particular solution yp = Yp(x) of the following DE d'y dx? 16y = 48x + 16x + 26

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Q: If I = , 2x e*dx dy = then 1=

A: Given:     ∫11∫012xex2dxdy

Q: Given z 10 In(t) and y- 100 t then find dy da d'y da?

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Q: In the given Bernoulli's equation 6y²dx – x(2x³ + y)dy = 0, what is ƒ P,(y)dy?

A: I have appended the formula used in the solution part

Q: Given y = x'e 2 2z - is: dy is: dz Solost ...

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Q: t or points for each ase portrait on this page. dx = 2x – 2y – 4 and- = x+ 4y +3 dt dt GURE 6.1.

A: Given

Q: Find the solution to the following Bernoulli's equations. (x³y2 + xy)dx = dy Ans. y(x2 – 2) + 1 =…

A: Solve using bernaulli equation

Q: Question 7 dy Find dr where y is defined implicitly by the equation a4- 5a y7 8 |3D dr 5y7 10y 422…

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Q: let y, and y2 be two solution for the D.E.: y" + (p'(x) x + p(x))y' + q(x)y = 0,x > 0. If W[y1,…

A: We use Abel's formula for wronskian

Q: B) Find the general solution to the following DE. dy y? + x2 = 0 dx

A: Given differential equation is y2+x2 dydx=0

Q: If yo is the particular solution of dy 4x°y, y(0) = 3, %3D %3D dx find the value of yo(2).

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Q: If z = xev, x = t and y = - 1+ 5t then: dz dt (Your answer should be in terms of the variable t.)

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Q: Find the general solution or particular solution of each of the foll 1. 2y(x+y+2)dx + (y²–x²– 4x –…

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Q: Þ(x) = x² is an explicit solution to dy 2y dx ylgn ihi

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Q: Let a ∈ R and find the solution to y'(t) - a y(t) = 0.

A: The given differential equation is dydt-ay=0 , a∈R.we will slove this by the method of  separartion…

Q: 13. Differentiate y = e** with respect to x . ,3x+1 C (3x+1)e³x! D 3xe*+1 O A В D A

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Q: a) Given: y = (x² + e*)(x + 4) derive dx

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Q: If y = e then y – y' + e*y is equal to %3D eet

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: consider y y"-(y') 0 where d = y If u = y', then the D.E. is reduced to (A) %3D (B) (C) du du du (D)…

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Q: Find the general solution for of each of the following D.Es: 1. (x² + y?)dx + xydy = 0.

A: Since you have posted 5 questions in a post, here i can give only Ans.1 Please repost the questions…

Q: d. Bernoulli's equation y' +y = e*y+ 1. 2. xdy + ydx = xy?dx

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Q: For x dx, given that y(1)= -1, then the solution is \dots O y =+2 -= fi O O y=-- 2

A: Option (c) is correct. See the attachment. Send your feedback please.

Q: solve the differential equation with the given initial condition.

A: We separate the variables and then integrate both sides. C=integrating constant

Q: Now, we can set zy = 0, substitute 2x for y, and solve for x. + 21 = 0 = -21 X =

A: Substitution method: - The substitution technique could be a simple approach for determining linear…

Q: If x u(u – 1)2 and y = (3u - 1)², then what is the value of dy/dx

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Q: Given z = 1le lle*y® , find 10 dz dz dy

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Q: Given z= 6 n(t) and y=36 t then find dy dr %3D dz

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Q: Given yz = ln(x+ z), find dz and dz fie

A: As we know that; The Power law; ddxxn=nxn-1 The Chain rule; fgx'=f'gx·g'x And c·f'=c·f' ; where c is…

Q: Given y - xy? – x²y=2. Then, at the point (1,2), -is Blank 1 dx

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Q: dz 10. Compute az and for the following equation. dy e Y + xz? 6xy*z3

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Q: dy In each of the following problems, find dr (a) I= y = ( 금) +1

A: Since you have asked multiple questions in single request.so we will be answering only first…

Q: If xy + e = e, find the value of y" at the point where x = 0.

A: First find y corresponding to x = 0 than take derivative of the given equation two times and put the…

Q: Question 13 Given: ez + xy = 1 dz Find: dr zey te O dz 8x 8x dz 8x Za zerx Ty IZ ce¹² ze Ty

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Q: The singular points for the D.E. (x² – 2x– 3)y" + 4xy' + 2y= 0, are:

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Q: The solution of y¨ − y = δ (t) −δ (t − 1), with y (0) = y˙ (0) = 0, is given by Select one:

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Q: Solve four questions of the following DEs 1- xy dy + (x² + y² )dy = 0

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Q: dz dz and Suppose z is a function of æ and y, and tan Vy² + x² = z#e6y. Solve for

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