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Differential Equations - Miscellaneous Problems | 12th Business Maths and Statistics : Chapter 4 : Differential Equations

Chapter: 12th Business Maths and Statistics : Chapter 4 : Differential Equations

Miscellaneous Problems

Book back answers and solution for Exercise questions - Maths: Differential Equations: Miscellaneous Problems

Miscellaneous Problems

 

1. Suppose that Q = 30 − 5P + 2 dP/dt + d2P/dt2 and Qs = 6 + 3P . Find the equilibrium price for market clearance.



2. Form the differential equation having for its general solution y = ax2 + bx



3. Solve yx2dx + e−xdy = 0



4. Solve ( x2 + y2 )dx + 2xy dy = 0



5. Solve x dy/dx + 2 y = x4



6. A manufacturing company has found that the cost C of operating and maintaining the equipment is related to the length ‘m’ of intervals between overhauls by the equation m2 dC/dm + 2mC = 2 and c = 4 and when m = 2. Find the relationship between C and m.



7. Solve ( D2 − 3D + 2)y = e4x given y = 0 when x = 0 and x = 1.




8. Solve dy/dx + y cos x + x = 2 cos x



9. Solve x2 ydx − ( x3 + y3 )dy = 0



10. Solve dy/dx = xy + x + y + 1 



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12th Business Maths and Statistics : Chapter 4 : Differential Equations : Miscellaneous Problems | Differential Equations

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12th Business Maths and Statistics : Chapter 4 : Differential Equations


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