Solve the exact D. E. (e14 x y +5) dx e14 x + 13 y) dy = 0

Q: 6. Find the solution of 1 dy + y = da 3+ e

A: Given dydx+y=13+ex

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Q: dy Solve the following D.E : 3x - y = In x+1, X. > 0 | dx

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Q: 2) Determine the constant A such that the equation (x² + 12ry) dx – (Ar² + 8y) dy = 0 is exact and…

A: The differential equation P(x,y)dx+ Q(x,y)dy =0 is an exact equation if and only if…

Q: The value of e dx x ex dx is ans. 1C 4V2 none of these

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Q: Find the general solution of the given D.E. 2x(3x + y – ye-*´)dx + (x² + 3y² +e-x*)dy = 0. %3D

A: Shown below

Q: 3. Show the equation (1+ e*y + xye*)dx + (xe* + 2)dy = 0 is exact and solve it.

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Q: Solve the following D-E 3) + y = y³ dx

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Q: dr - (x- 2) ey dy = 0

A: Given Differential equation is linear. We will solve it by finding integrating factor

Q: Solve the linear D.E dy + y=x dx Paragraph

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Q: d.) (y³ + x ln ) dy + (y In ) dx = 0

A: we have to find

Q: Solve the following using the method of solving Bernoulli Equations. dy 2. - 2y – x²y? – x²y² dx

A: According to Bernoulli's equation, we will have to assume some variable in such a way that another…

Q: Solve the following D·E 4) dx + xdy = x²e° dy

A: First divide dy both sides.

Q: Solve the equation EI d^4y/dx^4= w(x)  Find the general solution in the case of w(x) = w0, where w0…

A: Given that, d4ydx4=w(x) we have to find the solution of the differential equation if w(x) = w0 where…

Q: Solve the following equation using Bernoulli D.E. b. Alternative method dy + 2 = y? dx 4.

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Q: Find the complete solution of the following D.E. d³y dy? dx2 dy - 85y = x2 + 16 e* 4- + 12 | dx3 dx

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Q: (Zy+3)2 a. dx (4x+5/

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Q: Solve the following using the method of solving other substitution methods dy x+ y- 1 dx 3.

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Q: dy = y² dz +

A: The Bernoulli's LDE is of the form y'+p(x)y=q(x)yn. The general solution for this time of LDE is…

Q: dy 1. 6x², y(0)=5 || dx dy 2. dx e* +4 e* y(0)= In 5 '

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: dy + y? d.x xY

A: The given equation is a first order Bernoulli ODE has the form of y’ + p (x) y = q(x) yn   The given…

Q: Solve the given D.E. (Hint: Bernoulli) y' + y = y²e®

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Q: What is S ØQ,(x)dx if the given equation is dy y = 2xy?e¬x? | dx Select the correct response: -x2…

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Q: Use Euler method to approximate the value of y(2.2), given               ay' - by = cx2 + dx   ,…

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Q: Solve the IVP. Show the steps of derivation, beginning with the general solution. Problem 1.3.16 y'…

A: Solve both of differential equation in the following way:-   In the first differential equation,…

Q: dy d. x = y + y³cosx dx е. dx - y = 2xy²e-*

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Q: 5. Solve the following DE a² dx = x/x² – a² dy. 6. Solve the following DE x?yy' = e".

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Q: e*dx + 2 | 2*dx = e*+1 2*+1 + + C, In 2

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Q: What is the choice of substitution for S e*(1+e*)(1/2) dx?

A: The given integral,        ∫ex1+ex12 dx

Q: FIND THE GENERAL SOLUTION OF THE D.E.

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Q: dy 4a +9 10. dx

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Q: Find the general solution of (x + e – 1)dx – e'dy = 0

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Q: (b) Consider the IVP, test whether it is exact and solve it. x(x – y)dy = -(3xy – y²)dx y(-1) = 1

A: Given differential equation x(x-y)dy= -(3xy-y2)dx   To test exact or not ,if it is exact then solve…

Q: what is the general solution of a = e* dx +1

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Q: Determine whether the equation is exact. If it is, then solve it. (e'x+1)dt + (e' – 1)dx = 0.

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Q: Test the DE for exactness then solve. 5. (3x2 + e2y)dx + (2x e2y – 4y)dy = 0

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Q: 3. Show that the equation (x²y)dx + () dy = 0 is exact and then solve it.

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Q: Obtain the general solution to the equation. dy y dx X + 9x + 7 The general solution is y(x)=,…

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Q: Solve the following using the method of solving Bernoulli Equations. dy + y = e*y=2 dx

A: We need to solve the given differential equation by using Bernoulli's method.

Q: Find the General Solution (D² – 3D + 2)y = cos(e¬*)

A: We need to find the general solution of (D2-3D+2)y=cos(e-x) Note the results  ∫cosx dx=sinx+C ∫sinx…

Q: y? – a? -, y(1) = -V2 dx dy xy

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Q: Solve the Bernoulli equation dy + xy = xy dx y = (ce²² – 1)-} .B y = (ce² +1)-} .C y = (ce²² + 1)-}…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Solve the D.E, and when the initial-value condition is given, find the Particular Solution. ?dy…

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Q: (ylny – e¯xy)dx + ( + xlny) dy = 0

A: Solution :-

Q: Solve the Following D. E x*dy = (z xy-jJ dx %3D

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Q: Solve using method of undetermined coefficients d?x d3x + 6 dt3 dt2 d?x + 12 dx dx + 8x = 0 when t =…

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Q: Why is e^x selected as u and not e^2x (to get du /2 = e^x dx in the problem attached?

A: Consider the integral  ∫e2xe2x+3ex+2dx

Q: Solve the following initial value problem for  y = f (x). dy dx  =  e−3x, y = 79  when  x =…

A: dydx=e-3x and y=79 whrn x=0

Q: Find the constant a so that e"y + y = x – 1 is an implicit solution to -TY +ay dy dx e e-ry+x O -5/2…

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