5. Solve the following equation. Find the exact solution(s). anoiluloe auoensike yns ylitnebl noilsupe orwollo erts 32x+1 = 78x-2 %3D (x +=5

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A: Given problem is to find the differential equation where the general solution of differential…

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A:

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A:

Q: Solve the following initial value problem: y'(x² + 4) = 2xy y(2) = 2

A: Introduction: A differential equation is an equation of the form that contains a derivative.…

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A: The given differential equation is  y' + y = 0 y(0) = 4

Q: Solve the following initial value problem. y"() = 481 - 401°, y(0) = 3, y'(O) = 0 y=

A: The differential equation is given by y''t = 48t2-40t3                                ........(1)…

Q: Solve the initial value problem 2x y(0) = -2. y + x?y

A: The solution is given as

Q: Solve the following initial value problem: t? + 4 y(1) = 1. 3t3 + 4t2 –4t Please select file(s)…

A: The given function is y'=t2+43t2+4t2-4tWe can write it asdydt=t2+43t2+4t2-4tdy=t2+43t2+4t2-4tdt…

Q: Find the solution to the following initial value problem(IVP) y' +2 = уз У (1) 32 2x

A:

Q: Determine whether the following equation are separable. If so, solve the initial value problem.…

A: 2yy'(t) = 3t2                     y(0) = 9 The given equation is separable. Note: y'(t) = dy/dt

Q: Solve the following initial value problem and present its particular solution: 1. y" + y' + 9.25y =…

A: As you didn't mention the question number to be solved so I solved First question. For remaining…

Q: Solve the following initial value problem and present its particular solution: 1. y" + y' + 9.25y 0,…

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Q: Solve the following Homogenous LDE: (D2+4D-5)y=0

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Q: Solve the initial value problem y' + 4y = x ?, y(1) = 6 In x 4 34 y(x) - + x+4 x(x + 4) 5

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Q: Solve the following initial value problem: y" – 6y' + 13y = 0, y(2) =4 y'(1) = 9 %3D -

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Q: Solve the following initial value problem (IVP) y" + 2y' – 3y = 3t2 – t + 5, y(0)=0, y'(0) = 0

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Q: Solve the following initial value problem. y" – 17y" + 63y' + 81y = 0, y(0) = 0, y'(0) = 0, y"(0) =…

A:

Q: Solve, explicitly for y, the initial value problem: e@y (21x – sec(x)); y (0) = 180

A:

Q: 5. Solve the following initial value problem. -2 x' = ( )x, x(0) = (;) х, -5 4 %D

A:

Q: Solve the following initial value problem y''+25y=5x,  y(0)=1 , y'(0)=5

A:

Q: Solve the initial-value problem. 2xy' + y = 6x, x > 0, y(4) = 18 %3!

A:

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A: Given is the initial value problem y(3)+y''=8x+4e-x; y(0)=1, y'(0)=0, y''(0)=1 The objective is to…

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Q: Solve the following initial value problem -7 4 | y' = У, у (0) - -6 7

A:

Q: The form of the particular solution yp for the DE (D^2 + D - 2)y = 2x - 40cos2x should be yp = Q +…

A: Let's find.

Q: dz V(z2 - 8)5 21

A:

Q: Solve the initial value problem : f'(r) = r° + 12x + 15 and f(0) = 5.

A:

Q: 2) Solve the following initial value problem (IVP) y" + 2y' – 3y = 3t² – t + 5, y(0)=0, y'(0) = 0

A:

Q: (4.ry + 3a)dr + (2y + 2a²) = 0, y(0) = -2

A:

Q: 2. Eliminate the arbitrary constant on the given equation: y C12² + C2e'

A: Given that            y=C1 x2+ C2 e-x  ...................i  Differentiate , we get           y'=2C1…

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A:

Q: Solve the following initial value problem: =-2y+ 6 y (0) = 7 %3D

A:

Q: Find the solution of the following initial value problem. p'(t) = 10et + 70; p(0) = 100

A: Given,         p't=10et+70 ; p0=100

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A: We will form the differential equation using given solution

Q: 2 Given 0 4 = 16, solve for y -1 y O 1 O 2 O 3 O-3

A: Expand the determinant along that row or column which has maximum number of zero. In given question,…

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A: The given differential equation is y't=y4t3+1,  y0=4.

Q: Solve the initial-value problem y" = 0, y(2) = 12, y'(2) = 16, y"(2) = 8. %3D

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: 1. Find the general solution of the equation By - ty 11 y t

A:

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A: We have to solve the given differential equations.

Q: solve the initial value problem  y' = (xe^(-2x))/(2y-4) , y(0) =1  thanks

A:

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A:

Q: Solve the following initial value problem y" + 4y = 8 8(t – 27); y(0) = 3, y'(0) = 0 . %3D

A: the formulas are given below the solutions so look at them

Q: Solve the following initial value problem and present its particular solution: y"+y′+9.25 y=0,…

A: We need to solve the following initial value problem and present its particular solution:y"+y′+9.25…

Q: Find a solution to the initial value problem, y" + 18x = 0, y(0) = -4, y'(0) = –5. %3D

A: To Determine: Find the solution to the initial value problem.

Q: Solve the following initial value problem. y '(t) = 3y - 6, y(0) = 9

A: We have to solve the initial value problem: y't=3y-6 where y0=9. Rewriting the given differential…

Q: Solve the following Initial Value Problem: y"+ 16y 0, 2 and y'()= 5. %3D

A: y''+16y=0Auxillary equation ism2+16=0m2=-16m=±4iGeneral solution isy=C1cos4x+C2sin4x

Q: of Solve the initial value problem 3D6 xdy + dy=ydx, yca) =6 t. %31

A: To solve the given initial value problem xdy+dy=ydx y(2)=6

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.