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Mathematics 12 Online
OpenStudy (anonymous):

Is this differential equation linear?

OpenStudy (anonymous):

|dw:1353328256558:dw|

OpenStudy (anonymous):

yes, it is 1st oreder linear DE.

OpenStudy (anonymous):

But if I moved 1-y to the other side, it would be multiplying y with dy/dx

OpenStudy (anonymous):

oh, yes! my bad, its non linear then.... linear differential equations are those in which there are no products of the function, and its derivatives and neither the function or its derivatives occur to any power other than the first power.

OpenStudy (anonymous):

thank you :)

OpenStudy (anonymous):

means whenever u see y dy/dx or y^2 or (dy/dx)^2 .... the DE is non-linear... ok, welcome ^_^

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