I. FIND THE GENERAL SOLUTION OF THE FOI dy dy = xy + 3x - 3x dx 1. dx

Q: The particular solution of y(x+y)dx + (x +2y- 1)dy=0; y(0) = 2 by NEDE is

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Q: the general solution of the DE (cosxcosy+2x)dx-(sinxsiny+2y)dy=0 is

A: The differential equation M (x, y) dx + N (x, y) dy = 0 is exact if and only if  ∂M∂y=∂N∂x.   The…

Q: Solve the particular solution of the given DE: x(r^3-xy^2+2y^3 )dy-y(r^3+2y^3 )dx=D0 @r=1, y=1.

A: We have to solve given problem:

Q: (x– x'ye" )dy – dx = 0

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Q: dy =, with initial condition y(0) =2 is dx y The solution of %3D

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Q: dx ylnx dy || y + 1 X 2

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Q: Find the general solution of the following: dy 2x3 dx dy = xyi хуз %3D dy = (6e³x + 1)dx

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Q: Find P.I of the given d'y 5. +6y ex dx sdy dx?

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Q: 1. Use separation of variables to find the dy 2+ 4xy? = 0 general solution dx

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Q: Find dy/dx and d2y/dx2 without eliminating the parameter. x=1-t^(2), y=1+t

A: x=1-t2,  y=1+t Differentiating with respect to t, we get dxdt=0-2t  &  dydt=0+1⇒dxdt=-2t  &…

Q: x'e* cos 3xdx + -dy = 0 Vỹ - 1 %3D

A: In this question, we solve the separable differential equation by direct integral. the differential…

Q: Given z = 3 In(t) and y = 9t then find dy dx dy dx2 |3|

A: givenx=3lnt,y=9t2

Q: Reduce the given DE into Bernoulli's equation: dy_y 2x* y-4 - dx 3.

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Q: c) Obtain a general solution of + ! dy dx Y = sin x.

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Q: If y = f(x) is the solution of (5aty – 12a – 2y³)dx + (x³ + 4y³ – 6xy?)dy = 0, f(0) = 0, then

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Q: I. Find the general solution of the following: dy 2x 1.- dx y dy 2. xy dx 3. dy = (6e3x+ 1)dx

A: We have to find the general solution.     According to our guidelines we can do only one question so…

Q: Solve for the general solution of the given non-exact DE. (2y2 + 3xy – 2y +6x)dx + x(x + 2y – 1)dy =…

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Q: 2. (y + 1)dx + (4x – y)dy = 0

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Q: Show that if you differentiate both sides of xy +4x + 2y = 1, the re- sult is (x + 2) + y +4 = 0.…

A: we have to show that the differentiation of xy+4x+2y=1 will result in (x+2)dydx+y+4=0 and then we…

Q: Solve the bernoulli equation dx/dy+(2/x)y=-x^2y^2cos(x)

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Q: Solve the homogeneous DE ( xy) dx - (x + 2y)^2 dy = 0

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Q: find the dy/dx at x=-2 for y=3u^2 + 2u and u= (x^2+5)^1/2

A: Explanation of the solution is given below....

Q: dy Find the (explicit) solution for the IVP = x + e*, y(0) = 2. dx

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Q: dy dx ycos X こ y(o)=1 I +2y2

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Q: dx · xcot2y = x³csc2y dy

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Q: Find the general solution of the DE dy/dx = y(x – y) / x^2

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Q: Q1-If x= cot-1 VE, y = find dy d2y dx' dx² at t = 2. t+1

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Q: dy +y=(x-1)y' dx

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Q: dy _ 2y = x-'y¯1 y(1)= 3 dx

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Q: Determine the solution for this DE 1.) du/dx = (u2-x2) / (x2-u2 ) , u(1) = 0

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Q: Zy dx = (x?-1)L dx-dy) %3D

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Q: Find the general solution of the DE (x + y)dx + (x - y)dy =0.

A: Given differential equation is(x+y)dx+(x-y)dy=0Here, M=x+y and N=x-ythen ∂M∂y=1 and…

Q: Let y(x) be the solution of the IVP dy - (y - 3)'dx = 0, y(0)=2. Evaluate y(13).

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Q: The general solution to the DE + Py =0 is dx

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Q: Solve the Bernoulli's DE: (x°y3 + 1) dx + x4y2 dy = 0.

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Q: dy 2y = 2x/y %3D dx

A: The solution of the problem is given in the next steps.

Q: Derive the general solution of dy 1. dx y

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Q: When reduced to a linear DE of order one in z, the Bernoulli's equation +y)=3x<y becomes dx dz 1 A…

A: Topic  =Differential equation Correct option  = A

Q: Find the general solution of the DE sec x dy = y dx. O In y = e^x +c O In y = sin x + c

A: Our Aim is to find the general solution of the differential equation given below:-sec (x) dy=y dx…

Q: dy %3D 3 e*y* dx +

A: Givendydx+y3=exy4To Find:Solution of a given Bernoulli's equation

Q: Solve the Euler equation d²y dx dy -5y = 0 dx 31 d', 3x2 given that y(1) =1 and y'(1) = 2. intai

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Q: d*y 2) Obtain a particular solution for d²y dy + dx + y = x3 + 2x +1 dx4 dx?

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Q: Find the General and Particular solution of dy/dx = 3y ; y = 3, when x = 0

A: The formula for integration of fractional function is given by: ∫1x=ln|x|. Given: dydx=3y ; y=3 when…

Q: solve the simultaneois equation (dx)/(dt) = 3x + 2y (dy)/(dt) + 5x + 3y = 0

A: Given simultaneous equation, dxdt=3x+2ydydt+5x+3y=0 The eigen value of a matrix is calculated by…

Q: Find the general solution to: dy d dx dy 1 dy Cos x + sin 2x dx x + 4 dx

A: d). Given differential equation is dydx=cosx+sin2x. Re-writing the given differential equation.…

Q: Find the general solution of : x tan²y dx + (1+ Vx ) dy = 0

A: To find the general solution of : x tan2y dx+1+xdy=0

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

A: Given DE, y2+x2dydx=0

Q: The particular solution of y(x+ y)dx + (x+ 2y- 1)dy=0; y(0)= 2 by NEDE is

A: Let's find.