If r+ 2r - 1 = 0 is the characteristic equation of a homogeneous D.E. with constant coefficients, then we can write the geueral solution as y(x) = (A) C + C2t (B) cje(-1-v2jz+ czel-1+vD)z (C) Ci+ C2 In z (D) Ce + C2re (E) Cie-+ C2xe-

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Q: (a) f'(0) (b) f'(1) (c) f'(2) (d) f'(3)

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Q: thank you so much I understand it now and it worked

A: Okay.

Q: Is it possible to write it in a piece of paper for a clearer solution? thank you!

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Q: Noah says, "I worked the problem from left to right and ended up with `20-45x`."

A: NO, I don't agree with Noah. His approach is incorrect.

Q: question b

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Q: how did you compute the answers?

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Q: Could this be simplified any more?

A: The given polar equation:

Q: How do I do problems like these? This is an examples question.

A: we have to find the value of x

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Q: these ans

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.