The substitution y = xv(x) transforms a homogeneous equation into a separable equation. The latter equation can be solved by direct Y integration, and then replacing u by gives the solution to the original equation. Use this method to solve the differential equation dy dx x² + 3y2² 2xy

Q: Find the general solution of the differential equation y′ = √x y

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Q: dy dx e5x+4y = e

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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 =…

Q: d¹y dx4 d²y 2 zxp 0= h +

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Q: Solve the differential equation by using an integrating factor:y/+9y = x³e-9x Oxe-9 + C x²4e-9x +…

A: The given problem is to solve the given differential equation by using integrating factor. Given…

Q: Solve the given Differential Equation (4x+y-1)dx+ (x-y-4)dy=0 Solve using the coefficient linear in…

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