3) Show that there are no nonconstant periodic solutions to the following system. x' = x + y + x³ – y? 1 y' = 2y – x + x²y +

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A: Given, sin(x)=-32                 x∈[0°,360°]

Q: Evaluate S₁ 45 dx 1- cos (9x)

A: To evaluate .

Q: m confused by the step where it goes to (1-cos(pi)). Where does that come from?

A: Please look at the step  4

Q: cos t 1-sin t sect + tant

A:

Q: how did you integrate cos2x to sin2x/2?

A: how did you integrate cos2x to sin2x/2?

Q: Evaluate:   φ (-9π)     (–1, 0)     (1, 0)     (0, –1)     (0, 1)

A:

Q: g how this gets the answers below of the theta

A: To find the value of theta.Sin( 2th eta)  - cos(theta) = 0

Q: Evaluate: √ye dx By using Gamma function. is

A: I have given the answer in the next step. Hope you understand that

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Q: Please help me answer the question. Thanks!

A: Given,

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A:

Q: Prove:  cos(π   + x)        2             =−sinx     Please write clearly thank you.

A: We have to prove that cosπ2+x=−sinx. Use formula cosA+B=cosAcosB−sinAsinB Here, A=π2 and B=x Hence,…

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A: `We are given the Finite Fourier series as follows:…

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.