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: What is the solution of the differential equation by da = a(2a' + y)dy ? a. 1. = .3 O b. 1 1 2 O . 1…

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

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Q: Determine whether the differential equation is linear а. х- у 3D ху 1 b. y' = y c. y' = xy? = Vx d.…

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Q: Determine the exact solution of the following differential equation y =2- y at y(0) -1. So the value…

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Q: A differential equation with constant coefficients has the characteristic equation (A – 1)" = 0.…

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Q: Find the general solution of + 2xy = 4x dy dx 2 2 А. y = 2 + Ce С. y = 2 + Ce В. D. y = 3 – Ce у %3D…

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Q: Solve the differential equation with the appropriate method. Finalize answer equated to y.…

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

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Q: dy che = 21 улхчу у соз=

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Q: 1 7y y' + x2 - х- 12 x³ -4x2 +4x -16

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Q: У(ху + 1)dx + x(x'у? + ху + 1)dy %3D0

A: Given the differential equation is          y(xy+1) dx + x(x2y2+xy+1) dy = 0.

Q: b. 6y²dx – x(2x³ + y)dy = 0 -

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Q: Solve the given differential equation by undetermined coefficients. y" - y' = -7 y(x) :

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Q: y = C, x? sin 4x + C2x² Cos 4x

A: The equation is y = C1x2sin4x+C2x2cos4x

Q: (1 — х?)у" — 2ху' + 2у %3D0 ; Y1 = x

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Q: Which of the following should be the value of a for the differential equation (ye* + y)dx + (e* +…

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Q: Solve the differential equation using (a) undetermined coefficients and (b) variation of parameters.…

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Q: Solve the differential equation given.

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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: 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: 7. x = A + By + Cy² + De-4y; xV + 4x"' = 0

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Q: Given the equation of a family of a curve, find the general solution from the choices below. x3 y² =…

A: Given that: y2=x3c-x     NOTE: As per our answering guidelines, we can only answer 1 question or 3…

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

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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.