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Find the particular solutions of the fol...

Find the particular solutions of the following equations subject to the conditions
`(d^(2)y)/(dx^2)=6x`, given that `y= 1" and "(dy)/(dx)=2` when x=0

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The correct Answer is:
`y= x^(3)+2x+1`
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ARIHANT PUBLICATION-DIFFERENTIAL EQUATION-ODISHA BUREAU.S TEXTBOOK SOLUTIONS (EXERCISE 11A)
  1. Obtain the general solution of the following differential equations. x...

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  2. Obtain the general solution of the following differential equations. t...

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  3. Obtain the general solution of the following differential equations. (...

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  4. Obtain the general solution of the following differential equations. y...

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  5. Solve the following second order equation (d^2y)/dx^2=12x^2+2x

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  6. Solve the following second order equations (d^(2)y)/(dt^2)= e^(2t)+e...

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  7. Solve the following second order equation (d^2y)/(dvartheta^2)=-sinva...

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  8. Solve the following second order equations cosec x(d^(2)y)/(dx^2)=x

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  9. Solve the following second order equation x^2(d^2y)/dx^2+2=0

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  10. Solve the following second order equation secx(d^2y)/dx^2=sin3x

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  11. Solve the following second order equations (d^(2)y)/(dx^2)= sec^(2)x...

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  12. solve:e^-x(d^2y)/dx^2=x

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  13. Find the particular solutions of the following equations subject to th...

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  14. Find the particular solutions of the following equations subject to th...

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  15. Find the particular solutions of the following equations subject to th...

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  16. Find the particular solutions of the following equations subject to th...

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  17. Solve : (dy)/(dx)=sec(x+y)

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  18. Solve : (dy)/(dx)= sin(x+y)+cos(x+y)

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  19. Solve : (dy)/(dx)= cos(x+y)

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  20. Solve the differential equation (dy)/(dx)+1= e^(x+y)

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