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In each of the following examples,verify...

In each of the following examples,verify that the given function
is a solution of the differential equation.
`y=a. e^x+b.e^(-x)+x^2, frac{d^2y}{dx^2}+x^2=y+2`

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CHETANA PUBLICATION-DIFFERENTIAL EQUATIONS-EXERCISE
  1. In each of the following examples,verify that the given function is a ...

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  2. In each of the following examples,verify that the given function is a ...

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  3. In each of the following examples,verify that the given function is ...

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  4. In each of the following examples,verify that the given function is a ...

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  5. Solve the following differential equations.(i)log(dy/dx)=2x+3y

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

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

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  8. Solve the following differential equation (2)log(dy/dx)=2x+3y

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  9. Solve the following differential equation (3)y-x dy/dx=0

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  10. Solve the following differential equation (4)sec^2xtany dx+sec^2 y tan...

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  11. Solve the following differential equation (5)(x+1)dy/dx-1=2e^(-y),when...

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  12. Solve the following differential equation (6)cos x cos y dy-sin x sin ...

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  13. Solve the following differential equation (7)dy/dx=-k,where k is a con...

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  14. Solve the following differential equation (cos^2ydy)/x+(cos^2xdx)/y=0

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  15. Solve the following differential equation y^3-dy/dx=x^2 dy/dx

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  16. Solve the following differential equation (10)2e^(x+2y)dx-3dy=0

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  17. Solve the following differential equation (11)dy/dx=e^(x+y)+x^2 e^y.

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  18. For each of the following differential equation find the particular so...

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  19. For each of the following differential equation find the particular so...

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  20. For each of the following differential equation find the particular so...

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