Find the solution of the following Differential Equations 1 A) r -y=0, В) у' - 4у + 4у-0, C) y' +2y+2y=0, y(0) = 4, y'(0) = 0. 4 У(0) 3D 2.1, y'(0) = 3.9 y(0) = 1, y(0) = -3.

Q: 2. y"" -y' = 0; when x = 0, y = 1, y'= -2, y" = 2

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Q: Find the solution of the following Differential Equations 1 В) у+-у-17 sin(2t), y(0) = -1.

A: Note:  We'll answer the first question since the exact one hasn't specified. Please re-submit the…

Q: separate variables when necessary a) y' = 3x5 + 6x

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Q: In this question, we consider the differential equation y" - 3y + 2y = f(x). (a) Suppose that in Eq.…

A: Given : y''-3y'+2y=fx (a) f(x)=0 (b) f(x)=4x To find :  (a) The order and degree of the equation.…

Q: (2х — у) y' (х — 2у)

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Q: Q2\ Find a general solution of each of the following differential equations : y.x 1. 2х-x2 dy = /2 –…

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Q: Which of the following differential equation has a solution of y = C,x³ + C2x ? 4y = 3x?y' – x³y" 3y…

A: To find which option is correct: We first find y' and y'' of  y = C1x3  +  C2 x and then we will…

Q: x' Find the solution to the system of differential equations: y' x(0) = 5 y(0) = 2 = y - x + t, Y,…

A: To find the solutions of the below differential equation,  a) x' = y - x + t         ,     x(0) = 5…

Q: Now find the solution of the differential equation that satisfies the conditions y(0) = 4 and y' (0)…

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Q: The differential equation, (x + 3y - 5) dx - (3x + y - 7) dy = 0 can be transformed into homogeneous…

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Q: Determine the general solution of the differential equation: dy _Y -1+ x dx Select one: Оа. X. x² 2…

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Q: What is the differential equation of the solution y = C₁e-9 + С₂xе-9x + С3e7* ? Oy" + 11y" - 45y +…

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Q: Let y'= 2xy²; y=- 1 36-x² y(5)= 11 differential equation, give at least one interval I of…

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Q: Find a particular solution of the equation y4 -y3 - y" - y' - 2y = 8x^5:

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Q: 3. 3xv'dx + (3x?y +y)dy = 0; Y(1) = ?

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Q: Obtain the differential equation of the given family of curve: y² : C-x a. 2x³y' – 3x?y – y³ = 0 b.…

A: Given curve : y2=x3c-x ⇒c-x=x3y2

Q: (ху + 1) dx + (ху — 1) dy %3D 0

A: As per the instruction, we will be answering only the first one. Here, M=xy+1 and N=xy-1. Now,…

Q: 1. Solve the Differential Equations > subject to prescribed initial condition: a) у3 бх2 + бх — 3, х…

A: As per our guidelines I am solving only 1st for others kindly resubmit the question mentioning that…

Q: Convert the differential equation u"-3u-2u: = est into a system of first order equations by letting…

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Q: Determine the solution of the differential equation 3(1+ t²) dy = 2ty(y³ – 1) dt а. 1 y-3 1+C(1+t?)…

A: Solution of differential equations

Q: Which one of the following is the Exact differential equation ? O (2? + 3ry)dy + (3 + )dz = 0 O (22…

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

Q: From the differential equation dy = x2 dx, what is the equation of y in terms of x as the curve…

A: Given: dy=x2dx

Q: y' = 6x + 10x¹ + 12e³x *+/ + y' = 6x² + 2x − 5, y(0) = 7 y' = xy

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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.