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The general solution ofthe trigonometrical equationsinx+cosx=1forn=0,±1,±1is given by (a)x=2nπ(b)x=2nπ+π2(c)x=nπ+(−1)nπ4−π4(d) non of these View Solution Doubtnut is No.1 Study App and Learning App with Instant Video Solutions for NCERT Class 6, Class 7, Cl...
Consider cos x dy dx + (sin x)y=1. Give the largest interval over which the general solution is defined. Determine whether there are any transient terms in the general solution. (a) Find the general solution to y'' - 8 y' + 16 y = 0....
Given : ( y)( x)+y\ tan\ x=cos\ xThis is a linear differential equation, comparing it with ( y)( x)+Py=Qwhere P=tan x, Q=cos xI.F=e^(∫ \ P\ x)=e^(∫ tan x x)=e^(log |sec x|)=sec\ xSolution of the equation is given byy(I.F)=∫ \ Q.(I.F) x+c⇒...
[0, 2π]. but, we know that if sin x = 0, then x = 0, π, 2π, π, -2π, -6π, etc. are solutions of the given equation. hence, the general solution for sin x = 0 will be, x = nπ, where n∈i. similarly, general solution for cos x = 0 will be x = (2n+1...
b)y(2)+y=sec(x) Question: Find the general solution to: a)y(2)+y=cot(x) b)y(2)+y=sec(x) Solving Second-Order Differential Equation: The second-order non-homogenous differential equation has the form ofay″+by′+cy=g(x). ...
Answer to: Find the general solution of x' = A x when A = (1 2; 3 1). By signing up, you'll get thousands of step-by-step solutions to your...
(d) Notice: you need to be a little patient with computations for this problem, and also try to make your computations as efficient as you can. Find the general solution to the following differential equation: y′′ − y = 5e 2x cos(3x) ...
Step by step video & image solution for Statement - I : General solution of (tan4x-tan2x)/(1+tan4xtan2x)=1\ is x=(npi)/2+pi/8,\ n in I Because Statement - II : General solution of tanalpha=1\ is alpha=npi+pi/4,\ n\ in I A (b) B (c) C (d) D by Maths experts...
The general solution for sin4x=0 is:4x=nπ⇒x=nπ4where n is an integer. Step 8: Solve 2cos2x+1=0Rearranging gives:cos2x=−12The general solution for cos2x=−12 is:2x=2mπ±2π3⇒x=mπ±π3where m is an integer. Step 9: Combine the solutionsThus, the general ...