(a) -2y+ +3e² = 0, y(0) = 1 dy dx (b) x- da +y = 6xy², y(1) = 3 dy (c) d = 2y² + xy², y (0) = 1 dr

Q: 2 Find dy/ dx: (a) 4y² – 5xy + 4x =10 5х-10 (b) y = 2 x* + 5

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Q: 17 i

A: Explanation of the answer is as follows

Q: (1+x*)dy + x(1+ 4y²)dx =0

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Q: 2 dy 1. (x²-1) + 2y = (x + 1)²

A: You have asked multiple questions and not mentioned which question answer you need so according to…

Q: 3y(x²-1)dx + (x³ + 8y - 3x)dy = 0; when x = 0, y = 1.

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Q: Find dy dx xy + y² = 5 dy-0

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Q: (4х — 5у + 6)dx + (7x— 2у — 3) dy %3D0

A: Given that 4x-5y+6dx=7x-2y-3dy=0dydx=-4x-5y+67x-2y-3this form is equation reduciable to homogeneous…

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: (y² + 1)(x + 1)dy = (y² + 3y)dx → Variable Sep.

A: The solution of a differential equation is defined as the function which satisfies the differential…

Q: (xy² + x)dx-(x²y-y)dy = 0, y(2) = 5.

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Q: 3. (x + 3y – 4)dx + (x + 4y - 5)dy = 0

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Q: 3x(xy - 2)dx + (x³ + 2y)dy = 0; f(1)=2 Find the positive root of y at x=2. Use 2 decimal places.

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Q: Find dy/dx.  Y3 + (y+2)2 - 1 - x2 = x

A: Expand the left hand side expression and isolate the variables x and y.…

Q: dy (x³ + 1)(x² – 2x-1+ 1) of y = dx x² + 3

A: y=(x3+1)(x2-2x-1+1)x2+3

Q: d²y + 4 + 4y %3D 0, у(0) %3D 3, dy (0) = 1 dx %3D dx² dx

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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: 2y(y2 - x)dy = dx

A: Given data :    2y(y2 - x) dy = dx

Q: 2. (2x+4y-3) dy + (x+2y-1) dx = 0; y(2) = 5. Determine y(3).

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Q: Pdx + dy = 0, y(-1) = 2. (y 2) dy = 0, y(-1) = 2. ry2

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Q: e-(2²+x³) dy dæ x=-0 Jy=0

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Q: (xy2 +2xy -8y² – 16y)dx + (x2 - x - 6)dy = 0; when x = 1, y = 1 %3D %3D a.

A: Given differential equation is   (xy2+2xy-8y2-16y)dx+(x2-x-6)dy=0 ; when x=1 ,y=1

Q: dy/dx=2+√(y-2x+3).

A: Given differential equation is dydx=2+y−2x+3.......1. We have to find the general solution of the…

Q: Let y || dy dx = 9x-2 + 4x-¹-7. Find y if y(1) = 8.

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Q: d²y + 49 + 4y = 0, y(0) = 3, dy (0) = 1 %3D %3D %3D dx2 dx dx

A: Given differential equation is second order, homogeneous linear differential equation with constant…

Q: dy dx - 5y = xy³, -5 2 y(1)=1

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Q: (y + 1) dx + (4x − y) dy = 0

A: Given differential equation is, y+1dx+4x-ydy=0                         ...... (1) This equation can…