Tamil speak

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பேசு    (speak)

பகர்(speak with data)

செப்பு(speak with answer) 

கூறு (speak categorically)

உரை (speak meaningfuly)

நவில்(speak rhymingly)

இயம்பு(speak musically)

பறை (speak to reveal)

சாற்று (speak to declare) 

நுவல் (speak with introduction)

ஓது (speak to recite)

கழறு(speak with censure)

கரை(speak with calling) 

விளம்பு( speak with a message)

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TAM3B - Differential equations

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  ( x - y ) dx -( x + y ) dy =0 Exact Equation If the first order partial derivatives of M( x,y ) and N( x,y ) are continuous then M dx + N dy = 0 is an exact equation if and only if  ∂ M/ ∂ y = ∂ N/∂ x Hence to solve the exact equation  M dx + N dy = 0   Integrate M with respect to x keeping y constant Integrate those terms in N not containing  x  with respect to   y The sum of those two integrals equated to c is the solution. EXAMPLE 1 ( x^2-2xy+3y^2 )dx+(y^2+6xy-x^2 )dy=0 EXAMPLE 2 ( 2xy-sec^2⁡x )dx+(x^2+2y)dy=0 EXAMPLE 3 Find the value of ‘ n ’ for which ( x+ye^2xy )dx+nxe^2xy  dy=0    and solve it EXAMPLE 4 ( sin⁡ x. tan⁡ y+1)dx-(cos⁡x.sec^2⁡y )dy=0 EXAMPLE 5 ( e^y+1)  cos⁡ x  dx+e^y  sin⁡x  dy=0
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