WebMay 18, 2024 · Best answer We have (D2 + 1)y = tanx A.E. is m2 + 1 = 0 i.e., m2 = – 1 i.e., m = ± i C.F. is C.F. = yc = C1cos x + C2sinx ∴ y = A cos x + B sinx ... (1) be the complete solution of the given equation where A … WebSolution for Find the power series solution for the following differential equation about point x=0: y''+ ... Find the general formula for the recursive sequence below. an an-1 + 3, ... 6. y"-4y' + 5y = e2x tanx, 0< π/2. A: y''-4y'+5y=e2xtanx. Q: ...
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Webx (dy/dx) = tanx + y x (dy/dx) * dx = (tanx + y) * dx x * dy = (tanx + y) * dx ∫x * dy = ∫ (tanx + y) * dx x * y + a = ∫tanx * dx + ∫y * dx Let u = cos x, then du = -sin x * dx x * y + a = ∫ (-1) (-sin x * dx)/cos x + ∫y * dx x * y + a = -∫du/u + ∫y * dx x * y + a = - ln u + b + xy + c x * y + a = - ln (cosx) + b + xy + c WebSuch a general formula is called general solution of trigonometric equation. (c) Particular Solution :- The solution of the trigonometric equation lying in the given interval. General Solution of Trigonometric Equation (a) If sin θ = 0, then θ = n π, n ∈ I (set of integers) (b) If cos θ = 0, then θ = (2n+1) π 2, n ∈ I how install bluetooth driver
Trigonometric Equations and General Solutions - Formulas, Examples - …
WebApr 25, 2024 · Find general solution for $\tan{x} +\tan{2x} +\tan{3x}= 0$ [duplicate] Ask Question Asked 2 years, 11 months ago. Modified 2 years, 11 months ago. Viewed 221 times 1 $\begingroup$ This question already has answers here: ... WebJun 28, 2024 · 1. For the question, tan(2x)tanx = 1, I divided it by tanx, and got the solution as ( 2n + 1) π 6. tan2x = cotx = tan(π 2 − x). So, 2x = nπ + π 2 − x. So, 3x = ( 2n + 1) π 2. But the book solved using the formula of tan(2x), and got the solution as ( 6n ± 1) π 6. WebGeneral solution of tanx. 12 mins. Problems on Principal Solutions. 11 mins. Shortcuts & Tips . Common Misconceptions > Problem solving tips > Mindmap > Cheatsheets > … how install bluetooth drivers on windows 10