Find all values of the constant c so that (xy + 1)dydx = 4 + 4c. 1J0

Q: Q10. Solve the following DE (use any method) (6xy)dx + (4y2 + 9x2)dy = 0

A: Given differential equation is  6xydx+4y2+9x2dy=0

Q: I Solve the following FODF (x1)x*dy= (3x3y-xy +y²)dx

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Q: Determine for which values of m the function 4(x) = x" is a solution to the given equation. Ta) 2x…

A: Hey, since there are two questions posted, we will answer the first question. If you want any…

Q: Solve the D.E 9+4y = Sec2X %3D

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Q: Find the values of the constants a, b, c so that F = (axy + bz*)i+ (3x² – cz)j + (3xz? – y)k Is…

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Q: Find all values of the constant c so that .2 (xy + 1)dy dx = 4 + 4c.

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

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Q: Determine for which values of m the function ø (x) = e" is a solution to the given equation. d²y dy…

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Q: Determine for which values of m the function (x)=x" is a solution to the given equation. 2d²y dy (a)…

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Q: Use appropriate substitution to reduce the following equation to a variable separable and then dy 3x…

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Q: Q5) Answer the Following: 1- Solve the separable DE: dy -x² dx y² A a gortain

A: Given differential equation : dydx=-x2y2

Q: (2y² + 3xy – 2y + 6x)dx + x(x + 2y – 1)dy = 0

A: The differential equation is given as (2y2+3xy-2y+6x)dx+x(x+2y-1)dy=0 Let the integrating factor be…

Q: The Cauchy-Euler equation can be reduced to an equation with constant coefficients by means of the…

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Q: F. Solve the following by Substitution Method. dy = (-5x + y)² – 4 dx 2.

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Q: Obtain the value of P3 (x) using Rodrigues' formula d" P,(x) = (x² – 1)" (2")n! dx"

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Q: Xy = ý+2xy is DE, solve it:

A: ..............(1)

Q: Solve the following DE: (2æy + 3z?) da + (2x²y+4y) dy = 0

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Q: x²y" – 5xy'+9y = 2x

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Q: Find the values of the constants a, b, c so that F = (axy + bz3)i+ (3x² – cz)j + (3xz? – y)k Is…

A: A vector F→ is said to be irrational if and only if cure F→ =0 i.e∆ x F→ = 0Given F→ = (axy+bz3) i^…

Q: (b) Use the substitution u = x In y to solve the equation (ry + 2ry In² y + y In y)dx + (2x² In y +…

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Q: Solve the following diffential eauations a) dy + 4 y = e dy 3n2y = そ? ea3 dy C) N + 2y = そマ dn

A: We need to solve DE.

Q: SOve the exact DE and Give the general Solution. ay-3x)y'-3y=D0

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Q: The temperature inside a room is given by T(x, y) = x4 + y4 – 4xy+4. Find and prove the location(s)…

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Q: Solve h=ab+rh=ab+r for a

A: Given     h= ab + rh We can solve for a by separating it

Q: dy = Solve 2xy r x2 + y? given that y = 0 at a = 1 %3D

A: To find particular solution of D.E.

Q: ay - 3y = x*; dx

A: As per our guideline we are supposed to answer only one asked question.kindly repost other question.…

Q: express in the form y = f (x) by eliminating the parameter x =  e−2t , y = 6e4t

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Q: (xiv) f(t) = 3+et – te-2t + e5t cos3t + 6sinh7t

A: As two questions are given , I will solve only the first one. Given : f(t)=3+e4t-te-2t+e5tcos3t+6…

Q: Q1: Find the value of constant (K) 31 k xy#e* dydx = 56 %3D 27 0

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Q: Find the number m, such that the function y = ema is one solution of the ODE dy &y dy + 5- dx? = 0…

A: We will satisfy the solution with given ODE to get value of m.

Q: Solve: -4t Jydt=e s(t -3) %3D yro) =0 , y'c0=0 y'co) = 0 %3D

A: I have find CF and PI for the given equation

Q: Q1) Solve the following DEs а) ty" + (1 — 2t)y' + (t - 1)у %3D 0 y1 = et

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Q: Given that (r²- (x² – 4)? y = x>2 show that Ax² + 12 dy x>2 dr x*(r² - 4)? where A is a a constant…

A: From property of derivatives,

Q: 15. Find all values of the constant c so that (2x + y)dxdy = 3.

A: Given equation is Firstly, we will evaluate the integral.

Q: Find the value of zo so that dz = -2ni Pst-12 (= – z0) (z – 14i) |

A: Given ∮|z|=12z(z-z0)(z-14i)dz = -2πi

Q: Determine all values z ∈ C satisfying  e^z = −2i.

A: ANSWER :

Q: (8) 2xy = x2 + 2y² = x² dx

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: Q1. Find a general solution of the following equation: 2x(dx + dy) + y(dy – 5dx) = 0

A: Here we have,  2x(dx+dy)+y(dy-5dx)=0

Q: Solve for the DE equation associated by the given function: a. y = Ae2x + Be* + C. b. y = Ce3* +…

A: First we will find the roots of the Auxiliary equation corresponding to the differential equation…

Q: Given (x + 6y? ) dx - 4xdy = 0, when x = 1, y = 1. Find the particular solution.

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Q: f= 2n(d+dz) solve for z

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Q: d^2y/dx^2 + 3dy/dx + 4y = 3x + 2 Utilize the indeterminate coefficient technique to solve the above…

A: Here is the, solution

Q: Solve the first ODE and find the value of C constant when v(1)-2 dy 6x2 + 4x + 4 dx 4y

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Q: Solve the following 3. y* Va - y* dy

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Q: solve fos given, dy 2. -2t "ट +-

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Q: Find dy for the given values of x and Ax. y = /2x+9; x=1; Ax= 0.12

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Q: 7. (x dy – y dx) = 0 x² + y?

A: We are given a differential equation  1x2+y2(xdy-ydx)=0 We have to determine whether it is exact or…

Q: Q/ Solve the DEs: 1-a+yxdx+(1+x)dy = 0

A: 1-(1+y2)dx+(1+x2)dy=0

Q: Find the general solution using substitution each of the following DE: 2.) 4(2x + 3y + 5) dx + 3(2x…

A: The given differential equation is: 4(2x + 3y + 5) dx + 3(2x + 3y + 7) dy = 0 This differential…