Use separation of variables to find implicit solutions of the following differential equations. dy 1 (c) = y(y + 2)³ dx (a) dr = (y − 2)(y – 4) dx dy dr (b) = (y-1)(y² +1) y² + 11y

Q: Solve the differential equation by separation of variables: yl= 6xy², y(0) = 1/ 3 Oy y = Y y Y 1…

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Q: xdy+(y- xy + 2)dx =0 dx=0

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Q: Solve the following differential equations: 1. x(x + y)dy + (y+ 2x)dx = dx

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Q: Solve the following first order differential equations: (xy – 2x? )dy - (y + 2xy)dx = 0.

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Q: Find the general solution to a differential equation with linear coefficients: dy dx x+y-5 x+y+1

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Q: 2: Solve the differential equation (D²-2D+2)y=cos9x.

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Q: a. Solve the differential equation of (2x + y)dx – xdy = 0

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

Q: Solve the following differential equations: dy (i) 2y = 4 dx У (0) %3D 1 dx (ii) + 2x = 10e3t dt…

A: Differential equations

Q: Determine whether the differential equation (5.a2 – 2xy + 4) dr + (2y² – x² + 5) dy = 0 - is exact.…

A: The given differential equation is 5x2-2xy+4dx+2y2-x2+5dy=0

Q: y(4x + y) dx - 2(x² - y) dy = 0

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Q: Solve the differential equation (7x – 4y + 15)dy + (2x – 5y + 12)dx = 0 when x = 3, y = 2

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Q: Solve the differential equation of y(x2y2-m) dx + x(x2y2+n) dy = 0

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