Find the general solution for each of the following differential equations.

Given Differential Equation :
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Formula :
vi) ![]()
vii) ![]()
viii) ![]()
ix) ![]()
x) General solution :
For the differential equation in the form of
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General solution is given by,
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Where, integrating factor,
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Answer :
Given differential equation is
………eq(1)
Dividing above equation by x,
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Equation (1) is of the form
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Where,
and ![]()
Therefore, integrating factor is
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………![]()
………![]()
………![]()
General solution is
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………![]()
Multiplying above equation by x,
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Therefore, general solution is
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