V = dy = y? +1 and find the particular solution when y(1) = 1 da y/ = re?v y' = 5xy – 2x Solve x- xy dy %3D dy Solve dx x +1 dx and find the particular solution when y(1) = 3 x(x+ 1) y' = e3z+2y dy x sin? y. = (x + 1)² dy = x and find the particular solution when y(0) = 1 dx dæ Solve y - dy dy Зу — dy (1+2*) + xy = 0 dx = e = 6 d.x d.x

Q: dy Q2) Solve x- 2y = x³ tan 2x dx

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Q: Identify the first order DE and show the solution for (x-x^3ye^-2y)dy-dx=0

A: Given the differential equation

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Q: find the general solution of  xdy/dx+4y=(sinx/x)*(sqrt of y)

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Q: = sin(5x) for y(0) = 2

A: the solution is, y = (11 - cos5x)/5  The detailed solution is as follows below:

Q: x* + 4 dx : %3D 3

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Q: Find y'. y=(4x-4)(2x+1) OA. 16x-2 B. 8x-4 OC. 16x-12 OD. 16x-4

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Q: 3x2 x³ +1 dx

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Q: 3. (x - 1)dy - x?ydu = 0 4. (x2 - y2)dx + xydy = 0 5. (x2 - y)dx - (xdy – ydy) = 0

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: If x2+y2-2axy=1  then find (dy/dx)

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Q: Find y'' for y = 5x +4. 25x2 y'= - O A. 2 (5x? +4) 1 y" = O B. 4 (5x2 + 4) 20 y" = OC. (5x? + 4)…

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Q: Find the solution. (dy/dx) + xy = xy³ A x = (ce-²-1) By = (ce²+1) 7² y = (ce x²-1) x = (ce)² + 1) ²…

A: We have given a differential equation ,  dydx + xy = xy3 Multiply throughout by dx ,  dy + xy dx =…

Q: Find y'. 9) y = (5x-2)(3x + 1)

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Q: 3. Solve (x+y-1)dy = (x-y-3)dx 4. Solve dy/dx = (y+x)/x 5. Solve dy/dx +y = exp(3x)

A: Disclaimer: "Since you have asked multiple questions, we will solve the first question for you.  If…

Q: dy/dx=x+2y-5/x-3y+2

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