Is this equation linear or nonlinear?

  • Thread starter ~electric~
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  • #1
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is this equation linear or nonlinear??

Hello,
I am a little bit confused.. Is the following equations linear or non linear:
(dy/dt)^2+2y(t) = x(t).
(here i don't know if (d^2y/dt^2) = (dy/dt)^2 ,if this is true then i know it's linear)
dy/dt +(sin(t))y(t) = dx/dt +2x(t)
(does having derivative of x in the R.H.S make this equation non linear)
y(t) = Sx(T)dT
('S' means integrated from -infinity to 't', 'T' means (tao)) i am thinking this is linear...

Thanks in advance.
 

Answers and Replies

  • #2
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(here i don't know if (d^2y/dt^2) = (dy/dt)^2 ,if this is true then i know it's linear).
No they are not the same square of the first derivative not equal to the second derivative so its non linear..
dy/dt +(sin(t))y(t) = dx/dt +2x(t)
(does having derivative of x in the R.H.S make this equation non linear)
linear. y is a function of t not x Similarly x is a function of t

last one linear
 

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