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Solve the following differential equatio...

Solve the following differential equations :
`x(1+y^2)dx+y(1+x^2)dy=0,at, x=0,y=1`

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PATHFINDER-BASIC MATHEMATICS-QUESTION BANK
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  3. Solve the following differential equations : x(1+y^2)dx+y(1+x^2)dy=0...

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  4. Let{x} and [x] denote the fractional and integral parts of a real numb...

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  5. If y = 2[x]+3 and y = 3[x-2]+5 and find [x+y]

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  6. Solve abs([x]-2x)=4

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  7. Solve (x)^2+(x+1)^2=25 {where (x) denotes the least integer function}

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  8. If 0ltxlt1000 and [x/2]+[x/3]+[x/5]=31/30x, where [x] is the greatest...

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  9. Resolve x^2/((x-1)(x-2)(x-3)) into partial fractions.

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  10. Resolve (x^4-x^2+1)/(x^2(x^2+1)^2 into partial fractions.

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  11. Resolve (2x^2-11x+5)/((x-3)(x^2+2x+5)) into partial fractions.

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  12. If A={a,b,c,d,e}:B={c,d,e,f,g} and S={a,b,c,d,e,f,g,h,i,j}. Then evalu...

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  13. If A={a,b,c,d,e}:B={c,d,e,f,g} and S={a,b,c,d,e,f,g,h,i,j}. Then evalu...

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  14. If A={a,b,c,d,e}:B={c,d,e,f,g} and S={a,b,c,d,e,f,g,h,i,j}. Then evalu...

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  15. If A={a,b,c,d,e}:B={c,d,e,f,g} and S={a,b,c,d,e,f,g,h,i,j}. Then evalu...

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  16. If A={a,b,c,d,e}:B={c,d,e,f,g} and S={a,b,c,d,e,f,g,h,i,j}. Then evalu...

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  17. If A={a,b,c,d,e}:B={c,d,e,f,g} and S={a,b,c,d,e,f,g,h,i,j}. Then evalu...

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  18. If A={a,b,c,d,e}:B={c,d,e,f,g} and S={a,b,c,d,e,f,g,h,i,j}. Then evalu...

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  19. Find AcupB,A capB,A-B and B-A If A={x, x in R} : B = {x,absx le3}

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  20. In a set S contains n elements. Find the total no. of non void subject...

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