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Solve each of the following initial valu...

Solve each of the following initial value problem: `(dy)/(dx)+\ y\ t a n x=2x+x^2t a n x ,\ y\ (0)=1\ `

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RD SHARMA ENGLISH-DIFFERENTIAL EQUATION-All Questions
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  2. Solve the following initial value problem: (1+y^2)dx+(x-tan^(-1)y)dy=0...

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  3. Solve each of the following initial value problem: (dy)/(dx)+\ y\ t a ...

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  4. Solve the following initial value problem: (dy)/(dx)+ycotx=2cosx ,\ y\...

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  5. Solve the initial value problem: x(dy)/(dx)+y=xcosx+sinx ,\ y\ (pi/2)=...

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  6. Solve the following initial value problem: (dy)/(dx)+\ ycotx=4x\ cosec...

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  7. Solve the following initial value problem: (dy)/(dx)+2ytanx=sinx ; y=0...

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  8. Solve the initial value problem: (dy)/(dx)-3ycotx=sin2x ; y=2\ w h e n...

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  9. Solve the following initial value problem: (dy)/(dx)+ycotx=2cosx ,\ y\...

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  10. Solve the initial value problem: dy=cos x\ (2-y\ cosec x)dx

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  11. Find the general solution of the differential equation x(dy)/(dx)+2...

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  12. Find the general solution of the differential equation (dy)/(dx)-y=...

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  13. Solve the differential equation (y+3x^2)(dx)/(dy)=x .

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  14. Find the particular solution of the differential equation (dx)/(dy)+xc...

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  15. The temperature T of a cooling object drops at a rate proportional to ...

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  16. The slope of the tangent to the curve at any point is reciprocal of tw...

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  17. The equation of electromotive forces for an electric circuit containin...

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  18. The surface area of a balloon being inflated changes at a constant rat...

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  19. A population grows at the rate of 5% per year. Then the population wil...

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  20. The rate of growth of a population is proportional to the number prese...

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