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For each of the following differential e...

For each of the following differential equations verify that the accompanying functions a solution. Differential Function
(a)`x(dy)/(dx)=y,` `y=a x`
(b)`x+y(dy)/(dx)=0,` `y=+-sqrt(a^2-x^2)`
(c)`x(dy)/(dx)y=y^2,` `y=a/(x+a)`
(d)`x^3(d^2y)/(dx^2)=1,` `y=a x+b+1/(2x)`
(e)`y=((dy)/(dx))^2,` `y=1/4(x+-a)^2`

Answer

Step by step text solution for For each of the following differential equations verify that the accompanying functions a solution. Differential Function (a)x(dy)/(dx)=y, y=a x (b)x+y(dy)/(dx)=0, y=+-sqrt(a^2-x^2) (c)x(dy)/(dx)y=y^2, y=a/(x+a) (d)x^3(d^2y)/(dx^2)=1, y=a x+b+1/(2x) (e)y=((dy)/(dx))^2, y=1/4(x+-a)^2 by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

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    A
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    B
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