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Solve the following differential equatio...

Solve the following differential equations.
`dy/dt=sqrt(1-y^2)`

Text Solution

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`dy/dt=sqrt(1-y^2)rArrdy/sqrt(1-y^2)=dt`
`sin^(-1)y=t+C`
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MBD PUBLICATION-DIFFERENTIAL EQUATIONS-QUESTION BANK
  1. Find the general solution of the following differential equation. dy/d...

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  2. Solve the following differential equations. dy/dx=y+2

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  3. Solve the following differential equations. dy/dt=sqrt(1-y^2)

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  4. Solve the following differential equations. dy/dz=secy

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  5. Solve the following differential equations. dy/dx=e^y

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  6. Solve the following differential equations. dy/dx=y^2+2y

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  7. Solve the following differential equations. dy+(y^2+1)dx=0

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  8. Solve the following differential equations. dy/dx+e^y/y=0

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  9. Solve the following differential equations. dx+cot x dt=0

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  10. Obtain the general solution of the following differential equations. d...

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  11. Obtain the general solution of the following differential equations. d...

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  12. Obtain the general solution of the following differential equations. d...

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  13. Obtain the general solution of the following differential equations. d...

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  14. Obtain the general solution of the following differential equations. x...

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

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

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

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

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  19. Solve the following second order equation (d^2y)/dt^2=e^(2t)+e^(-t)

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

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