276 EXAMPLES OF ELIMINATION. 



5. If y = a sin x + b cos x, then 



6. Eliminate the exponentials from 



xy = ae x + be~ x . 



Remit. x <jjji 



7. Eliminate the constants from 



y 3 + foe 2 = a. 



Rewlt. ey^ + 

 S. Eliminate the constants and exponentials from 



9. If (x+y) (c+ log x) = xf, then 

 dv 



* 



10. Eliminate a and 6 from 

 a 



Result. a?+2x- 

 do? dx 



11. EHminate the constants from the equation 



12. If - - - =/ ( - - -} , shew that 

 z x J \y xj 



-dz dz a 



-j- + y -j- = z 



dx y dy 



