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Solve the following differential equatio...

Solve the following differential equation: `(x+y+1)(dy)/(dx)=1`

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` (x+y+1) frac{d y}{d x}=1 `

` frac{d y}{d x}=frac{1}{x+y+1} `

Use , `u=x+y Rightarrow frac{d u}{d x}=1+frac{d y}{d x} `

` ...
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RD SHARMA-DIFFERENTIAL EQUATION-Solved Examples And Exercises
  1. Solve the following differential equation: (x^3+x^2+x+1)(dy)/(dx)=2x^2...

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  2. Solve the following differential equation: (dy)/(dx)=x^5+x^2-2/x ,\ x!...

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

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  4. Solve the following differential equation: (x+2)(dy)/(dx)=x^2+3x+7

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  5. Solve the following differential equation: (dy)/(dx)=logx

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  6. Solve the following differential equation: (dy)/(dx)=cos^3xsin^2x+xsqr...

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  7. Solve the following differential equation: (dy)/(dx)=x^5tan^(-1)(x^3)

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  8. Solve the following differential equation: sqrt(a+x)dy+x\ dx=0

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  9. Solve the following differential equation: (dy)/(dx)=x\ e^x-5/2+cos^2x

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  10. Solve the following initial value problem: C^(prime)(x)=2+0. 15 x ; C(...

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

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  12. Solve: (dy)/(dx)=1/(y^2+siny)

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  13. Solve: (dy)/(dx)=secy

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  14. Solve: (dy)/(dx)+y=1

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  15. Solve the initial vale problem (dy)/(dx)+2y^2=0,\ y(1)=1\ and find th...

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  16. Solve the following differential equation: (dy)/(dx)+(1+y^2)/y=0

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  17. Solve the following differential equation: (dy)/(dx)=(1+y^2)/(y^3)

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  18. Solve the following differential equation: (dy)/(dx)=(1-cos2y)/(1+cos2...

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  19. Find the general solution of the differential equations sec^2xtany ...

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  20. Solve: e^xsqrt(1-y^2)dx+y/x dy=0

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