Solve the following EDO (Homogeneous) d) y³dx + 2(x³ – xy²)dy = 0

Q: Solve for the particular solution of the non-homogeneous DE. y'' + y = 2x

A: Solve for the particular solution of the non-homogeneous DE. y'' + y = 2x

Q: 3. Show that the given equation is homogeneous. Hence, solve the initial value problem dy (x² +…

A: Answer

Q: Write the general solution for the homogeneous DE y/" + 3y" + 3y' + y = 0.

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

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Q: Solve for the particular solution of the following non-homogeneous DE. 2y''+y'=3

A: here we need to find the particular solution of given differential equation. the solution is…

Q: Solve the following second order homogeneous LDE b) y" + 4y + 5y = 0 y(0) = 0, y' (0) = 2

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Q: y(4) + 2y" = 2

A: Here we need to find the particular solution of given differential equation. The solution is…

Q: Solve for the particular solution of the following non-homogeneous DE. y” - 4y' - 12y = e6t

A: Explanation of the answer is as follows

Q: Obtain the general solution. xy3dx+ex^2dy=0

A: The given differential equation is xy3dx+ex2dy=0. We have to obtain a general solution.

Q: Solve for the particular solution of the following non-homogeneous DE. y''+y=2x

A: This question is based on solution of differential equations.

Q: Determine the General Solution of ye2x dx = ( 4+e2x %3D ) dy

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Q: Find the general solution of y’ + (1/3)y = exy4

A: We have to find the general solution of the differential equation y'+13y=exy4 .

Q: Which of the following is the homogeneous solution to y" + 6y' + 25y =1 ? –3x (C, cos(4x) + C,…

A: Given below the detailed solution

Q: y" - 2y'- 8y = 2xe* %3D

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Q: Solve the following first-order linear DE's. a) y' + 2y = x³e-2x b) y sin2x 7 +: y c) x²y' +3y = x?

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Q: 1. y" + 4y'+ 3y = 12 В. 12 А. 4 С. -4 D. 4x

A: Given y''+4y'+3y=12(D2+4D+3)Y=12Auxillary equation is m2+4m+3=0Upon solving, m=-1,-3CF,…

Q: y² dx + x(x – 7y) dy = 0

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Q: 6 By Separation of variables, Solve the following 5 PDES :- d²4 d24 dx² 0 o u(e,t) = u(s, t) =6…

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Q: Solve for the particular solution of the non-homogeneous DE. 2y'' +y' = 3

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Q: Find the general solution of æ*y" + x°y = 4x²y= 1 given that yı = x² is a solution of the associated…

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Q: 4. Solve the 2nd-order Homogeneous D.E. y" – 36y = 0

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Q: y" - 4y - 12y = e6t

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Q: 2x Find the general solution of y" – 4y' + 5y sin (2)'

A: The given differential equation is  y" - 4y' + 5y = e2xsinx

Q: 1. Solve the following homogeneous equation, using direct factorization: y"" + y' = 0

A: Given :y'''+y'=0

Q: Find the homogeneous D.E with constant coefficients having the given solution: y(x) =–2x+sin 4x

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Q: x²dx + y(x-1)dy = 0 %3D

A: We need to find solution of differential equation.

Q: Find the general equation solution to the 2Zx + Zy +Z = o

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Q: Show that the following iis homogeneous and solve: a. y'= (2x-y)/(x-2y)

A: We have to solve the problem

Q: Solve for the particular solution of the following non-homogeneous DE. y”’ + y” = 3

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Q: y" - 3y'- 4y = 2xe*

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Q: 1. Solve the following homogeneous equation, using direct factorization: y"' + y' = 0

A: The given data is: y'''+y'=0 To solve the given homogeneous equation.

Q: 6. y" – 2y' = e* A. 2e В. -2е C. e D. -e

A: Given that the non-homogeneous differential equation is       y'' - 2y' = ex

Q: 2y" + y' = 3

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Q: b. Solve by using variable separation method. = 0 ax2' ay2 Which satisfies the conditions, u(0, y) =…

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Q: Solve the ODE x²y" + xy' +| y = 0 about a singular point 16

A: We need to solve ODE.

Q: Solve for the particular solution of the following non-homogeneous DE. y''+4y'+3y=12

A: Here we have to solve the given differential equation

Q: (y – /x² + y² ) dx – xdy = 0, x = 0, y = 1 -

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Q: Q4) Solve the following homogeneous DE: 2y +x y'

A: Answer is mentioned below

Q: Solve for the particular solution of the following non-homogeneous DE. y(4)+2y''=2

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Q: y" + 4y' + 3y = 12

A: here we need to find the particular solution of given differential equation. the solution is…

Q: 6. dy dx 4x + 3y 2x+y

A: Solution :-

Q: 1. Find the solution of the DE: (D² + 2D + 5)y = 4e3t, y(0) = y'(0) = 0 using method of undetermined…

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Q: Solve the following non-homogeneous DE y"+6y*+9y'=(x-2)e"

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Q: Find the general solution of the given DE (x-3y-1)dx-(x-3y+5)dy%3D. Answer:

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Q: Find the general solution of the given DE (x-3y-1)dx-(x-3y+5)dy%3D0. Answer:

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Q: What are the roots of the auxiliary equation corresponding to the DE 6y"+11y"-y'-6=0? Write the…

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Q: Solve for the particular solution of the following non-homogeneous DE. y''-2y'=ex

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Q: 2- Find the general solution of the second order non-homogeneous linear equation: y" – 7y' + 12y =…

A: The given second order differential equation is y''-7y'+12y=10 sin t+12t+5. Find the general…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.