194.Show that the following differential equation is homogeneous and find a primitive of it. Derive the solution wherever possible: (x - y) y' = x + 2 y
The given differential equation is or ...(1) Put y = vx so that
Separating the variables, Integrating,
Which is required solution.
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195.Show that the following differential equation is homogeneous and find a primitive of it. Derive the solution wherever possible: (x2 + y2) y' = 8 x2 - 3 x y + 2 y2
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196.Show that the following differential equation is homogeneous and find a primitive of it. Derive the solution wherever possible: (3 x y + y2) dx = (x2 + x y) dy
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197.Show that the following differential equation is homogeneous and find a primitive of it. Derive the solution wherever possible: 2 x y dx + (x2 + 2 y2) dy = 0
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198.Show that the following differential equation is homogeneous and find a primitive of it. Derive the solution wherever possible:
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Short Answer Type
199.Show that the following differential equation is homogeneous and find a primitive of it. Derive the solution wherever possible:
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Long Answer Type
200.Show that the following differential equation is homogeneous and find a primitive of it. Derive the solution wherever possible:
Short Answer Type
Long Answer Type
...(1)
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