Given the differential equation x²y" – 4xy+ 6y = 0. For y (1) = 0 and y' (1) = 2, the value of y" (1) is: - а. О b. 8 С. 2 d. 16 е. -2

Q: Determine the type of Differential Equation, then find the solution for it.

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Q: syidr + [2yłn () + 3siny]dy: 6. x²+3x 3y?dx 5x ;when x = 1, y = 0 x+3,

A: Given, Differential Equation:  3y2x2+3xdx+2y ln5xx+3+3 sin ydy=0when, x=1 and y=0 To find: The…

Q: 6) Solve for y: 3"*1 = 9"-1

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Q: Solve. y'' – 36y = et The general solution will be 6t 6t y(t) : cje + c2e +

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Q: ху a) y'=Xy х +1

A: We’ll answer the 1st question since we answer only one question at a time. Please submit a new…

Q: Is the following a homogenous differential equation? dy/dx = (x2y-y2x)/(x3-y3)

A: Let's find

Q: Obtain the differential equation of the following

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Q: solve et (l-t)? with y coJ=2 and y'Co)=6

A: We have to solve

Q: For the differential equation y'' + 42y' + 152y = 8 cos(8x) Answer to the previous part: P(r) = r² +…

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Q: a.) y = 2cx² + c² b.) y = c1x + c2x² + sin x %3D

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Q: Consider the following differential equation to be solved by variation of parameters. y'' + y =…

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Q: Solve the following equation y'=x/y=0 x=-1.y=6 2:38 PM

A: Solution of the differential equation

Q: 2x³y' = y(y² + 3x?)

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Q: Determine whether the following equation is a solution to the corresponding differential equation.…

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Q: 23 = sint is a solution of the differential equation " + x = 0. nd at least one more solution of…

A: given that the differential equation is x"+x=0           --------(1) We need to calculate  the…

Q: solve the differential equation xe8Ydx + (7xy+8x²e®Y)dy=0

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Q: C. y' = x+Vxy

A: It can be solved by substituting y=vx.

Q: e"(dr+3rde)=0

A: To solve the given differential equations.  e3θ(dr + 3rdθ) = 0.

Q: Consider the initial value problem 1 Y1 -4 2 5 cos(4t) [Y1(-1)] [y2(-1). This initial value problem…

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Q: The degree of the differential equation (y") +y' – y = x is а. 2 с. 1 h no decree

A: We are asked to find the degree of the differential equation.

Q: 2. %3D

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Q: 1. If = 2xy, and y(- 1) = 2, find y(2). dx 3 А. 4e 3 В. — 4е' C. 3 С. 2 2 D. 5 E. - 4

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Q: Verify that the function is a solution of the differential equation on some interval, for any choice…

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Q: B and C are 3. Obtain the required differential equation associated with the following, where…

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Q: 7. у"" + у" — 7у" — у' + бу %3D 0 - -

A: On solving this differential equation we will get

Q: Consider the following differential equation to be solved by variation of parameters. y'' + y =…

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Q: For each differential equation, indicate the order as a number. t³y"+t²y'+3y = sin(t) Order is:…

A: We have to find the order of the following differential equationsWe know thatThe order of a…

Q: solve the following differential equation y' + (8/x) y = x6 y4

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Q: B- Solve the following differential equation у" — 7у' + 3 %3D о

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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.