Các bài toán về giải tích phức

Yc = C₁+ C₂. e* sin(*) + (₂ ex cos(x). Ус. C3. ® Particular solution: look for solution in the form. Ур. As in (3x) + B cos (3x). Yp = 3 A cos (3x) - 3B Sin ... sa sinu du= -cosu+ (= - cos/√x) + C. U=3x du=3dx. 4S JX. U=√x dur 24/7 dx. 5. S cos(3x) dx. { sinu +(= {} sn13x |. 6. $ et dz. S =}{} cosu dy = = sinu + C =. Nov 21, 2023 ... ... e − 2 x cos ⁡ 3 x {\displaystyle \displaystyle -6M{{e}^{-2x}}\sin 3x+(-8M+6N){{e}^{-2x}}\cos 3x-10Mx{{e}^{-2x}}\cos 3x=2{{e}^{-2x}}\cos 3x}. esin 3x cos 3x dx = 1. 3 esin 3x + C. 53. Z e7x e7x + 5 dx = 1. 7 ln(e7x + 5) + C. 54. Z tan x dx = Z sin x cos x dx. Using the substitution u = cos x, we see ... Differentiate wrt x \sin(x)\left(121\left(\sin(x)\right)^{2}\left(\cos(x)\right)^{4}-75\left(\cos(x)\right)^{2}\left(\sin(x)\right)^{ cos(3x+1). I-00 3x + 1. (HINT: Use the Squeeze Principle.) (X-1) xi ex/2+8x+3 ... bin cos (3x+1). 3x+1 bin 3X+1. 00. =0. Page 3. 2.) (8 pts.) Determine the ... 1/12 (cos (3x + 2)). 3 sin (3x +2)+1/8 cos (3x + 2) sin (3x +2)+3/8x + 1/4. But Maple does not do +C so the answer is: 1/12 (cos (3x + 2)). 3 sin (3x +2)+1/8 ... Nov 11, 2013 ... y(x) = C1e2x cos(3x) + C2e2x sin(3x) , with the later formula ... y(x) = c1e−3x cos(x) + c2e−3x sin(x). 3g. y(x) = c1e2x cos(6x) + ... The solution to the differential equation can be determined by multiplying both sides of the equation by an integrating factor. Expression 1: "f" left parenthesis, "x" , right parenthesis equals cosine left parenthesis, 6 "x" , right parenthesis Has graph. To audio trace, press ALT+T ...