6x2dy-y(2y3+x)dx=0

Q: dy c) dx 4x y =1. 4x2 -9

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Q: 6 d'y y = -9x-4 find dx? x6

A: We use formula of differentiation .

Q: d'y 5dy -3y = 0 dx 2- 2. Determine the general solution of

A: given: the differential equation is: 2d2ydx2+5dydx-3y=0

Q: dx 5. S- (4x – x2)°/2

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: d²y Find dx2 1 y = ,2

A: Consider the given equation is, y=1x2 Differentiate as, y=x-2dydx=-2x-2-1dydx=-2x-3dydx=-2x-3

Q: dy ニ 3 x +y-2

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Q: dy :- 15x²y and y = 4 when x = -4 dx

A: To solve the initial value problem  dydx = -15 x2ydyy = -15x2 dx

Q: -dx x2 + 2

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Q: Find d2y/dx2.  y = x1x + 1

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Q: - dx x² +16

A: Topic:- Integration

Q: x-1² -2t d'y %3D =? y =t°-8t+1 dx 2 1= 2

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Q: calculate d2y/dx2 when y=-3x2+2x

A: . Given y=3x2+2xwe find d2ydx2

Q: d3y find 3 5) If y = 4x + z %3D dx3

A: Given that: y=4x3+3x2

Q: „ 2x2-5x if y= dx dy Find 5x3 +5

A: y = ( 2x2 - 5x ) / ( 5x3 + 5 ) y'=?

Q: (x'+3xy²)dx +(3x³y +y')dy = (

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Q: dy 2x2y+y 二 dx

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Q: d'y d²y dy dx3 -2 dx2 +9. - 18y = 0 dx

A: Given equation is d3ydx3-2d2ydx2+9dydx-18y=0Here we have a linear differential equation which…

Q: d’y dx² 5 + 6y = 3x+3 dx

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Q: (x+y*)dx-2x² ydy = 0

A: Given: x4+y4dx-2x3ydy=0 For finding solution of given differential equation, first we simplify it…

Q: - dx V4 –x² 14.

A: We have to integrate

Q: y = (3 – 4x)+/²(7 – 5x²)+/a dy dx

A: This can be solved as follows:

Q: x² – 4y² dy 29, dx - 2хy ||

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Q: dy 4x2 + x dx y + 4

A: Given : dydx = 4x2+xy+4

Q: a (1 – 2a2 + 3æy - y?) 23 – x²y – y dy dx

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Q: dx (x2 + 2)2

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Q: 3x²e2x-4y dx + y dy = 0

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Q: Q3/ Solve dy dx4 2d²y + 1 = 0 dx²

A: Given d4ydx4-2d2ydx2+1=0To find solution:

Q: d?y Calculate dx2 y = -4x2 + 4x d?y dx2

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Q: 22 d'y dx² dy 7x- +16y=0 dx

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Q: Find d^2 y/dx^2 in terms of x and y. y8 = x9   d^2 y/dx^2

A: Given expression is, y8=x9

Q: Find d^2y/dx^2: y^3=6x^2

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Q: d’y d²y D. = 3e* +4x2 dx dx2

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Y(Gyt-x-4)dx + 2x dy =0

A: let

Q: d 5. dx 3/2 3 (x + yy'). x² + y²

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Q: d'y 4x2 +8x dx

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Q: Calculate dx2 y = -4x2 + 6x d?y dx2

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Q: xdy- [ 5x1C x²+ y²) +y] dx - Jy=ty? (xdx +ydy)

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Q: a) dx² d²y + 9y = -2e3x „y(0) = 1 ,y' = 1 dx

A: From the given differential equation: d2ydx2-6dydx+9y=-2e3x So, we can also write as; D2-6D+9y=-2e3x…

Q: d²y 10 + 9y = 5t, y(0 dx

A: Laplace solution: d2ydx2-10dydx+9y=5ty(0)=-1, y'(0)=2Taking Laplace on both sides we…

Q: d'y Calculate dx2 y = -5x2 + 7x %3D d?y dx2 %3D

A: The differentiation is a process of finding the rate of change of one variable with respect to…

Q: d²y x+2 for y=- X-3 8. Find dx2

A: Differentiate with respect to x.

Q: (x + 3y2)dx - (-6ху

A: Consider r(t)=(x(t),y(t),z(t)), a≤t≤b ∫CP dx+Q dy =∫CP(x(t),y(t),z(t)) d(x(t))dt+Q(x(t),y(t),z(t))…

Q: d³y Find dx3 where y = e*(8x + 1)

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Q: Find dy/dx y= (x3-3x)6

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Q: d²y -4x+ dx? 4x*y = xe* dx

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Q: dy х+ 3 dx (x2 + 6х - 3)2 y =

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Q: y(6y^2-x-1)dx + 2xdy =0

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Q: Find ay/dx. 8x²y - y

A: