The order and degree of the differential d³y V dy equation: 7+ i. - dx3 dx 3, 2 7,3, 3, 1 3, 7

Q: If y = Vx(3 – x)², show that- dy (3-х) (3-4x) Find the x coordinates of %3D dx all points on y =…

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Q: Find df/dx and df/dy for the function.  f (x, y) = 2x2ey

A: given:  f (x, y) = 2x2ey

Q: iff. equations : y' = 10x y dx - x dy = 0, y" + ky = 0, y'+ 2y = e-2*

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Q: x dy – y dx = x³ dx %3D ye Answer: 4x + x*y = Cy. %3D

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Q: dy +y = x³ – 3 1 — х3 — 3 dx х

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Q: Let y3 - 4x = 2xy. Find d2y/dx2. Show work please.

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Q: adx - dy 0 y dx+ +Edy = 0

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Q: Find the differential dy, then evaluate: y= 2x3+ 6x-| when x= -2, dx= 0.l

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Q: Substitute the expressions from the previous steps. Then substitute (x, y) = (1, 1) and solve for dy…

A: To find the slope of the tangent line to the curve  at the point .

Q: (c) Differentiate y = Vsec3 (5t2)

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Q: (2y3 – x³)dx + 3xy?dy = 0; when x = 1, y = 1 Ans. 5x²y3 = x5 + 4

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Q: У 3 с (1+ e*/»)dx + e*/y (1-) dy = 0 Ans: x + ye"ly =

A: Solution as given below:-

Q: The integrating factor (IF) of the equation: (2x³y² + 4x²y + 2xy² + xy4 + 2y)dx + (2y³ + 2x²y +…

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Q: d'y + k?y = 0 Give the degree of the equation dx Give the order of the equation (x* + 2y)dx – xdy =…

A: We need to tell the degree and order of the given differential equations:

Q: (x2 + y? )dx + 2xydy = 0.

A: We can solve this as follows:

Q: (y* - 2xy)dx + 3x?dy = 0; when x = 2, y = 1

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Q: y da + (1+ e*. ton y) dy = c (1 + ー×

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Q: dy d²y Find аnd dx the first and second derivatives, for #2 & 3: dx2 • 2. y = 2x2 + 3x + 1 3. y =…

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Q: dy + (ax – 7)y = bx° dx %3D - a = 2 andb = 1 dy + (2x - 7)y dx = x² 6.

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Q: Given: z = Arctan(x/y) Find: dx2

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Q: the non homogemesus. equation Salve メ++5 2x +24+7 ot x

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Q: Differentiate. g(t) =  5 − 7t 8t + 9 g′(t) =

A: solution: the objective is to find the derivative of the given function

Q: Find 2," dy d²y dx ' dx? d3y and from: dx3 3. x = 1 – t? and y = 2t3 – t2 + 1

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Q: Find dx dt dy dt dy dx dx dt || 11 || dy dt dy dx x = 5t - 5ln(t), and y = 8t² - 8t -2

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Q: dy - ¿°cax-4) .y(5) - D dx

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Q: rV1-y² (x² + y³) dy dx -1 J-V1-y

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