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Solve the following differential equatio...

Solve the following differential equation: `(dy)/(dx)=sec(x+y)`

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`(dy)/(dx)+sec x.y=tan x,0<=x Comparing it with `(dy)/(dx)+Py=Q`
`P=sec x` and `Q=tan x`
or `I.F.=e^(int Pdx)=e^(int secx)`
...
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RD SHARMA-DIFFERENTIAL EQUATION-Solved Examples And Exercises
  1. Solve the following differential equation: (dy)/(dx)cos(x-y)=1

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

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  3. Solve the following differential equation: (dy)/(dx)=sec(x+y)

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  4. Solve the following differential equation: (dy)/(dx)=tan(x+y)

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  5. Solve the following differential equation: cos^2(x-2y)=1-2(dy)/(dx)

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  6. Solve the differential equation x^2dy+y(x+y)dx=0, given that y=1\ w h ...

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  7. Solve the differential equation (x^2-y^2)dx+2x y\ dy=0; given that y=1...

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  8. Find the particular solution of the differential equation ; (x^2+x ...

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  9. Find the particular solution of the differentialion (3x y+y^2)dx+(x^2+...

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  10. Solve x\ dy-y\ dx=sqrt(x^2+y^2)dx

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  11. Solve {xcos(y/x)+ysin(y/x)}y dx={ysin(y/x)-xcos(y/x)}xdy

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  12. Solve 2y e^(x//y)dx+(y-2x e^(x//y))dy=0

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  13. Solve each of the following initial value problem: 2x^2(dy)/(dx)-2x y+...

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  14. Solve each of the following initial value problem: 2x y+y^2-2x^2(dy)/(...

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  15. Solve each of the following initial value problems: (x^2+y^2)dx+x y...

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  16. Solve each of the following initial value problems: (x^2-2y^2)dx+2x...

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  17. Solve each of the following initial value problems: (x e^(y//x)+y)d...

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  18. Solve the differential equation x^2dy+(x y+y^2)dx=0 given y=1, when x=...

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  19. Solve the following differential equation: (x^2-y^2)dx-2\ x y\ dy=0

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  20. Solve the following differential equation: 2x y(dy)/(dx)=x^2-y^2

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