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In the following questions verify that t...

In the following questions verify that the given function is a solution of the given differential equation :
`y = c_(1) sin x + c_(2)cos x , (d^(2)y)/(d x^(2)) +y =0`

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AAKASH INSTITUTE ENGLISH-DIFFERENTIAL EQUATIONS-Try Yourself
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  2. Find the degree of the following : cos^(-1)((dy)/(dx)) = (d^(2)y)/(d...

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  3. In the following questions verify that the given function is a solutio...

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  4. In the following questions verify that the given function is a solutio...

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  5. In the following question verify that the given function is a solution...

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  6. Form the differential equation of the family of curves represented by ...

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  7. Form the differential equation of the family of all the parabolas whos...

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  8. Find the differential equation of all the circles whose radius is one ...

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  9. Find the differential equation of the circles represented by y = k(x +...

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  10. Find the general solution of the equation given by (dy)/(dx) + (1+y^(2...

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  11. Find the equation of the curve passing through origin and satisfying t...

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  12. Solve the differential equation x sec^(2) y dy = (xIn x + 1) e^(x) dx.

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  13. In how many years the amount of Rs 2,000 triples if the rate is which ...

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  14. Show that the differential equation x^(2)(dy)/(dx) = x^(2)+ xy + y^(2)...

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  15. Show that (3xy + x^(2)) dy + (y^(2) + xy)dx = 0 is homogeneous differe...

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  16. Find the general solution of the equation x - y (dx)/(dy) = y + x (dx)...

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  17. Solve the following differential equation : ( 1 + e^(y/x) ) dy + e...

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  18. Solve the differential equation (dy)/(dx) + 2y = x.

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  19. Find the general solution of the differential equation (x-1)(dy)/(dx) ...

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  20. Solve the differential equation y^(2)(dx)/(dy) + x = 1.

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