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In the following question verify that th...

In the following question verify that the given function is a solution of the given differential equation :
`y = a cos (wx + y) , y y''' - y.y'' = 0`

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AAKASH INSTITUTE ENGLISH-DIFFERENTIAL EQUATIONS-Try Yourself
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  4. Form the differential equation of the family of curves represented by ...

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

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

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

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

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

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

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

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

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

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

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

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

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  19. Find the equation of the curve passing through the point (0,0) and who...

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  20. A curve has a property that the slope of the tangent at a point (x, y)...

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