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Solve the following differential equatio...

Solve the following differential equations: `(dy)/(dx)=((x-y)+3)/(2(x-y)+5)`

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To solve the differential equation \[ \frac{dy}{dx} = \frac{(x - y) + 3}{2(x - y) + 5}, \] we will follow these steps: ...
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RD SHARMA-DIFFERENTIAL EQUATION-Solved Examples And Exercises
  1. Solve: x^2ydx=(x^3+y^3)dy=0

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  2. Solve the following differential equations: (x+y)^2(dy)/(dx)=1

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  3. Solve the following differential equations: (dy)/(dx)=((x-y)+3)/(2(x-y...

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  4. Solve the following differential equations: (x+y+1)(dy)/(dx)=1

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  5. Solve the following differential equations: (x+y)(dx-dy)=dx+dy

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  6. Solve x (dy)/(dx)sin(y/x)+x-ysin(y/x)=0 given y(1)=pi/2

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  7. Solve: x(dy)/(dx)=y-xtan(y/x)dot

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  8. A thermometer reading 80^@F is taken outside. Five minutes later the t...

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  9. The doctor took the temperature of a dead body at 11.30 Pm which was 9...

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  10. If is given that radium decomposes at a rate proportional to the am...

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  11. A radioactive substance disintegrates at as rate proportional to the...

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  12. If is known that, if the interest i s compounded continuously, the ...

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  13. Bacteria multiply at a rate proportional to the number present. If the...

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  14. A spherical rain drop evaporates at a rate proportional to its surf...

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  15. Water at temperature 100^@C cools in 10 minutes to 88^@C in a room of ...

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  16. Solve the following differential equations: (dy)/(dx)=sin^3xcos^2x+x ...

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  17. Solve: (dy)/(dx)=1/(sin^4x+cos^4x)

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  18. Solve the initial value problem e^((dy//dx))=x+1; y(0)=5.

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  19. Solve the following initial value problems: (22-26) sin((dy)/(dx))=k ...

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  20. Solve the initial value problem e^((dy//dx))=x+1; y(0)=5.

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