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Find `dy/dx if y= x.e^x`

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RD SHARMA ENGLISH-DIFFERENTIAL EQUATION-All Questions
  1. Solve the following differential equation: (x+2)(dy)/(dx)=x^2+3x+7

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

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  3. Find dy/dx if y= x.e^x

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

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

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

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

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

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

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

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

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  12. Solve the initial value problem (dy)/(dx)+2y^2=0,\ y(1)=1\ and find t...

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

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

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

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

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

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  18. Find the particular solution of the differential equation (1+e^(2x))dy...

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  19. Solve the differential equation: (1+y^2)(1+logx)dx+x dy=0 given that w...

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  20. Solve the differential equation x (1 + y^2) dx - y (1 + x^2) dy = 0

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