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Find the particular solution of the differential equation `(dy)/(dx)=(x y)/(x^2+y^2)` given that `y=1\ w h e n\ x=0.`

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RD SHARMA ENGLISH-DIFFERENTIAL EQUATION-All Questions
  1. Find the particular solution of the differential equation xcos(y/x)...

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  2. Find the particular solution of the differential equation (x-y)(dy)/(d...

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  3. Find the particular solution of the differential equation (dy)/(dx)=...

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

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  5. Find the general solution of the differential equations: xlogx(dy)/(...

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

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  7. Solve: dy / dx + y secx = tanx

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

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  9. Find the general solution of the differential equations: x(dy)/(dx)+...

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  10. Find the general solution of the differential equations: (1+x^2)dy+...

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  11. If y+d/(dx)(x y)=x(sinx+logx),find y.

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  12. Solve: y\ dx-(x+2y^2)dy=0

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  13. Solve: y dx + ( x - y^3) dy = 0

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  14. Solve [(e^(-2sqrt(x)))/(sqrt(x))-y/(sqrt(x))](dx)/(dy)=1(x!=0)

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  15. Solve each of the following initial value problem: (x-siny)dy+(tan...

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  16. Solve each of the following initial value problem: (1+y^2)dx=(tan^...

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

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  18. Solve the following differential equation : (dy)/(dx)+2y=6e^x

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

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

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