Solve the differential equation. Express your answer as an explicit solution of y in terms of @ de *=-48y-2 48y¬2

Q: Find the differential equation whose solutions correspond to the following equation 1. y = C1e¬* +…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Solve for the differential equation and get the particular solution. 2. 2ydx + 3xdy = xy³dy; x 1 y =…

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Q: 2. Solve the differential equation. 4x?y" – 16xy' + 25y = 0 %3D

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Q: Find a differential equation whose general solution is y = C₁e6t + c₂e-4t y" - 2 y' - 24 = 0 X

A: The solution of the DE is: y=c1e6t+c2e-4t where the solutions to the auxiliary equation are 6 &…

Q: Find the differential equation whose solution is given by y? = 4ax ydx – 2xdy = 0 O ydy – 2xdx = 0

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Q: Solve the differential equation y" + 5y' + 6y = 0.

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Q: Solve the differential equation (b and a are variable (D²+4D+3)b=1+2a+3a?

A: I have find CF and PI and added them,

Q: Solve for the differential equation of the given solution 2. y = C1xe* + C2e¬3x

A: We are given: y=C1xex+C2e-3x We need to find the differential equation for the given solution y.…

Q: Find the general solution to the differential equation xy' = -2y Give the explicit form of the…

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Q: xy メy = x2++? dメ

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Q: solve the differential equation   x(4ydx+2xdy)+y3(3ydx+5xdy)=0

A: Given that the differential equation is    x(4ydy+2xdy)+y3(3ydx+5xdy) = 0

Q: Solve the differential equation 2x?y" + xy' - y = 0, y(1) = 9, y'(1) = 3. Then evaluate the…

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Q: Solve the given differential equation by undetermined coefficients. y" - 2y'- 3y = 8ex - 3 y(x) =

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Q: xy + Xy = x²+4² dメ

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Q: Solve the differential equation y"+6y' +12 y =0

A: Given the Differential Equation is  y''+6y'+12y=0 This is a second-order linear differential…

Q: 3. (D² + 4)y = 5e* – 4x2 -

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Q: Solve the given differential equation by undetermined coefficients. y" - 2y' - 3y = 4ex - 6 y(x) = 4

A: See this solution in below

Q: Solve the differential equation y'+25y=10y

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Q: 6xydc+(ty+9x?)dy =0

A: We have to solve the differential equation…

Q: Solve the differential equation. dy = 3x2y2 xp

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Q: solve the differential equation (x3+y4)dx+8y3xdy=0 when x=4, y=1/2

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Q: Solve the differential equation: dy + (7x – 7)y = 4x7 dx

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Q: solve the differential equation y"+8y'+41y=O *

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Q: dy = 7xVy for y + 0

A: The solution is given as

Q: Find the solution of the differential equation 3 – 2ry? 2x2y + 4 dy %3D dr

A: *Concept:- Use the Exact differential equation concept for solving the given problem.

Q: Solve the differential equation : (D2+5D+6)y=ex

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Q: Determine whether the differential equation (5.a2 – 2xy + 4) dr + (2y² – x² + 5) dy = 0 - is exact.…

A: The given differential equation is 5x2-2xy+4dx+2y2-x2+5dy=0

Q: Find the differential equation whoce is y= C1e-1% + solution = Czc-9x. + C2e 6x

A: A differential equation is an equation that involves derivatives or differential coefficients or…

Q: Solve the differential equation x²y" - 5xy' + 9y = 0, y(1) = 19, y'(1) = 4. Then evaluate the…

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Q: Solve the differential equation y" +6y' +12y=0.

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Q: 8. x csc ) - y] dæ + xdy = 0

A: Given the differential equation

Q: Solve the given differential equation by undetermined coefficients. y" - 2y' - 3y = 8ex - 6 y(x) = =

A: Consider the given differential equation, y''-2y'-3y=8ex-6 The auxiliary equation will be,…

Q: Solve for the general solution of the given differential equation ху + у? and express your final…

A: The given differential equation,y'=xy+y2x2

Q: Solve the given differential equation by undetermined coefficients. y" - 2y' - 3y = 4ex - 3 y(x) =

A: We need to solve D.E.

Q: solve the second order differential equation ; y''+4y'+5y=8xsinx

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Q: (t - 5)'y"-2(t-5)y' + 2y = 0, t>5, V = (1- 5)

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Q: Solve the differential equation below: y”+y'-6y=36x

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Q: solve the differential equation for p x + 2(xp-y) + p^2 = 0

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Q: Find the solution to the differential equation y'-2ty = 4t

A: Solve the above differential equations.

Q: Solve the differential equation: xy' + 2y = 25xy, y(1) = 2.

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Q: Solve the differential equation and simplify (D^3 + D)^2y = 0

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Q: -Solve the differential equation (3yx² – 2) + (x³ + cosy +).0

A: Solution is given below..

Q: Solve the differential equation for general solution 7y6dy = 8x

A: Given query is to find the solution of the differential equation.

Q: Solve the differential equation (5) y′′+4y′+4y=0.

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Q: dx + 2xydy: こD (6x²+y²)

A: follow the procedure given below.

Q: Solve the Differential Equation: y"+ 3y' = 2x + 6

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.