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- Find the image equation of the line −2x + y + 3 = 0 under the rotation about C = (1, 1) at an angle ? = 90°.4. Consider a wave equation on an infinite line, J²u J²u 9 Ət² əx² = 0. = Find the characteristics though the point (1,3). Draw the domains of depen- dence and influence of the point (1,3).) Solve the inhomogeneous wave equation on the real lineUtt − c2Uxx = sin x, x ∈ RU(x, 0) = 0, Ut(x, 0) = 0.Explain what theory you are using and show your full computations.
- Don't solve the question, please only find the wavefunctionGenerate a 3D plot based on the equation z=sin(x) +cos(y), both x and y range from 0 to 2 pi. Please use Matlab to solve.b) A particle moves in simple harmonic motion according to the equation, s = 0 x Acos(wt) + 0 × Bsin(wt), Where s is the displacement, w is the angular d?s + w?s = 0? dt2 frequency and A, B are constant, Show that,