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Solve the following initial value proble...

Solve the following initial value problem: `x(dy)/(dx)+1=0; y(-1)=0`

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The correct Answer is:
`y= - log|x|`
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MODERN PUBLICATION-DIFFERENTIAL EQUATIONS-EXERCISE 9 (f) Long Answer Type Questions (I)
  1. Solve the following initial value equations : (1+e^(2x))dy+(1+y^(2))...

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  2. Solve the following initial value problems and find the corresponding ...

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  3. Solve the following initial value problem: x(dy)/(dx)+1=0; y(-1)=0

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  4. Solve the following initial value problems and find the corresponding ...

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  5. Solve the following initial value problems and find the corresponding ...

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  6. Solve the following initial value problems and find the corresponding ...

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  7. Solve the following initial value problems and find the corresponding ...

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  8. Find the particular solution of the following differential equation...

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  9. Find the particular solution of the following : (dy)/(dx)= 4 xy^(2),...

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  10. Find the particular solution of the following : (dy)/(dx)= y tan x, ...

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  11. Find the particular solution of the differential equation e^xsqrt(1-y^...

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  12. Find the particular solution of the following : (x+1)(dy)/(dx)=2e^(-...

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  13. Find the particular solution of the following : sec^(2)x tan y dx - ...

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  14. Find the particular solution of the following : (dy)/(dx)=x^(3) cose...

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  15. Find the particular solution of the following : (dy)/(dx)= (x(2 log ...

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  16. Find the particular solution of : (i) log(dy/dx)=2x+y (ii) log(d...

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  17. The normal lines to a given curve at each point pass through (2,0). Th...

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  18. For the differential equation : xy (dy)/(dx)=(x+2)(y+2), find the ...

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  19. Find the particular solution of the differential equation xy(dy)/(d...

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  20. In a bank, principal increases continuously at the rate of 5% per y...

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