dy dx general solution y as an explicit function of x. (ii) What is the particular solution satisfying the initial condition y(1) = 2? (c) (i) Solve the differential equation √/1-x² = -x(1+y), writing the

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A: This is non homogeneous differential equation.

Q: the differential equation by separation of variables: root(x)(dy/dx) = ey+ root(x);         x>0

A:

Q: 2. y" – 2y' + y =, + 3e* 1+ x2

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Q: dy the differential equation dy + x()2 by using a suitable substitution. dr dr2 dr

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Q: Solve the exact differential equation: (2x+1+2xy) dx + (x2 +  4y3) dy = 0

A: (2x+1+2xy ) dx + (x2 + 4y3) dy = 0  on comparing with   Mdx + Ndy  , we get ,       M =…

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A: Using method of seperation of variables, we can solve the differential equation.

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A: Here, we are given the differential equation, y'' = 12x-2. Also, we have the information that y =…

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Q: Solve the differential equation by variation of parameters. y(x) = y" 16y= 16x 4x est

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Q: Exact Differential Equation : Solve the equation (2x+4y +6) dx +(4x - 2 y - 5) dy = 0

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Q: Q1/ Solve the differential equation (use division method) y(x+1)dy = x(y² +1)dx

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Q: Solve the differential equation 2x dy/dx + y = 2x0.5

A:

Q: solution to this differential equation: (x+3y-5)dx - (x-y-1)dy = 0

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Q: and (2) and (3) of this section. dy = f(x, y) dx Solve: (2) Subject to: y(x) = Yo d?y - f(x, y, y')…

A: we have differential equation: dydx=fx and d2ydx2=fx Now,  y''=12x-2 Integrating both sides…