1. If the differential equation 16x? + 2p'y-p'x 0 while solving for y takes the form y f(x,p), then f(x, p) = (b)#+ (0) + (d) px 8x2 8x 8x (a)- p2 px p2

Q: (1) The functions f, g and h are related by f(x) = g(x+1),. g'(x) = h(x-1), then f"(2x) equals: (a)…

A: as per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

Q: (a) (3-x- y)dy=(2x – 4y+6)dx.

A: According to the guidelines I can solve 1st problem only. For the remaining problems you have to…

Q: (a) 2xy? + x²y' = y², y(1) = = -1 (а) Зу(2? — 1) + (»3 + 8y — За) dy (b) 4x?3 dy гу* + 2 dæ (e) xy'…

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Q: 4x²yy' 3x(3y2 + 2) + 2(3y +2)3 %3D

A: Given differential equation is 4x2yy'=3x(3y2+2)+2(3y2+2)3 where y'=dydx We have to find the solution…

Q: Solve the differential g(x) = equation. g'(x) = 6x², g(0) = -6

A: The differential equation is given by g'x = 6x2 The initial condition is, g0 = -6 To evaluate: The…

Q: Form a differential equation by eliminating arbitrary Function. Z= (x + y)f(x² + y² ) %3D

A: Given z = (x+y)f(x2+y2)zx+y = f(x2+y2)                             (1) Partially differentiate with…

Q: Differential Equation Q:(x² - 21y)dy = (x² – 2xy )dx.

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Q: Degree of the differential equation 3 5 6 2/3 3/2 y dx² = 0 dx² is,

A: In differential equations, the degree is the highest power (exponent) to which the derivative (or…

Q: 4y" + 2y" = e *(x' + 4) + 4e 2- 5x 4 9

A: In this question, we have to find the particular integral for the linear differential equation…

Q: Determine the form of the solution if the method. of undetermined coefficients is used to solve the…

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Q: The particular solution when x y' = (x² +1)/(2-y) is: -3 and y = 4 of the differential equation

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Q: 3. Solve the differential equation. (a) x²y' = xy + 3y²

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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.