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The differential equation which represen...

The differential equation which represents the family of curves `y=e^(C x)` is `y_1=C^2y` b. `x y_1-I n\ y=0` c. `x\ I n\ y=y y_1` d. `y\ I n\ y=x y_1`

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D is correct answer
`y=e^{c x}`

` frac{d y}{d x}=c e^{c x}`

` frac{d y}{d x}=frac{ln y}{x} cdot y`

` x y y^{prime}=y ln y`
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RD SHARMA-DIFFERENTIAL EQUATION-Solved Examples And Exercises
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  2. The solution of the differential equation x(dy)/(dx)=y+xtany/x , is x ...

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  3. The differential equation which represents the family of curves y=e...

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  4. Which of the following transformations reduce the differential equatio...

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  5. The solution of the differential equation (dy)/(dx)=y/x+(varphi(y/x))/...

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  6. If m\ a n d\ n are the order the degree of the differential equation (...

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  7. The solution of the differential equation (dy)/(dx)-1=e^(x-y), is a. (...

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  8. The solution of x^2+y^2(dy)/(dx)=4 is a. x^2+y^2=12 x+C b. x^2+y^2=3x+...

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  9. The family of curves in which the sub tangent at any point of a curve ...

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  10. The solution of the differential equation x\ dx+y\ dy=x^2y\ dy-y^2x\ d...

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  11. The solution of the differential equation (x^2+1)(dy)/(dx)+(y^2+1)=0 i...

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  12. The differential equation x(dy)/(dx)-y=x^2, has the general solution a...

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  13. The solution of the differential equation dy/dx-ky=0, y(0)=1, approach...

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  14. The solution of the differential equation (1+x^2)(dy)/(dx)+1+y^2=0, is...

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  15. The solution of the differential equation (dy)/(dx)=(x^2+x y+y^2)/(x^2...

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  16. The differential equation (dy)/(dx)+P y=Q y^n ,\ n >2 can be reduced t...

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  17. If p \ "and" \ q are the order and degree of the differential equation...

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  18. find the solution of the following differential equation x logx (dy)/...

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  19. Solve: dy / dx + y secx = tanx

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  20. Integrating factor of differential equation cosx(dy)/(dx)+ysinx=1 is

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