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Verify that y^2=4a x is a solution of th...

Verify that `y^2=4a x` is a solution of the differential equation `y=x(dy)/(dx)+a(dx)/(dy)`.

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RD SHARMA ENGLISH-DIFFERENTIAL EQUATION-All Questions
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  2. Verity that y=a/x+b is a solution of the differential equation (d^2y)/...

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  3. Verify that y^2=4a x is a solution of the differential equation y=x(dy...

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  4. Show that A x^2+B y^2=1 is a solution of the differential equation x{y...

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  5. Show that y=a x^3+b x^2+c is a solution of the differential equation (...

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  6. Show that y=(c-x)/(1+c x) is a solution of the different equation (1+x...

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  7. Show that y=e^x(A\ cos x+Bsinx) is the solution of the differential eq...

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  8. Verify thaty=c x+2c^2 is a solution of the differential equation 2((dy...

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  9. Verify that y=-x-1 is a solution of the differential equation (y...

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  10. Verity that y^2=4a\ (x+a) is a solution of the differential equatio...

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  11. Verify that y=e^(m cos^-1 x) satisfies the differential equation (1-x...

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  12. Show that the differential equation of which y=2(x^2-1)+c e^-x^2 is a ...

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  13. Verify the solution problems: Show that y = e^-x + ax +b is solution o...

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  14. For each of the following differential equations verify that the accom...

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  15. Verify that the function defined by y = sinx - cosx is a solution of ...

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  16. Show that the function varphi defined by varphi(x)=cos x\ (x in RR) ; ...

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  17. For each of the following initial value problems verify that the accom...

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  18. Solve: (dy)/(dx)=x/(x^2+1)

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  19. Solve: (e^x+e^(-x))dy/(dx)=(e^x-e^(-x))

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  20. Solve the following differential equation: (dy)/(dx)=x^2+x-1/x ,\ x!=0

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