pi/2 , (5pi)/3, 2npi +- pi/3, n in ZZFind the principal and general solution of s e c x = 2
Find the general solution : sin x + sin 3x + sin 5x = 0 03:45 Prove that cos 2xcos(x/2)-cos 3x cos((9x)/2)= sin5x sin((5x)/2). 03:11 Find the value of sin (31pi)/3. 02:26 Find the value of cos (-171 0^(@)) 04:05 If cosx=-3/5, x lies m the third qua...
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⇒...
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...
Find the general solution of the differential equation. {eq}\displaystyle \frac{y^2\ }{(1-x)}dx=dy {/eq}. Separation of Variables: Suppose we consider the differential equation: {eq}M(x)dx + N(y)dy = c {/eq} Which is called a separable differential equation because we ...
The solution of the differential equation is given by y(x)=yc(x)+yp(x) yc(x) yp(x) yp(x)=−y1∫y2g(x)W(y1,y2)dx+y2∫y1g(x)W(y1,y2)dx whereWis theWroskian. Answer and Explanation:1 a ) Given y(2)+y=cotx ...
y′−y=cos(t)−1 . Particular Solution of a Differential Equation: We can define a particular solution of a differential equation with constant coefficients, one of the methods used is that of indeterminate coefficients. This method is used when g (x) h...
Find the general solution of this nonlinear ODE: xy' + sin(2y) = x^3*sin^2(y) This equation, is non linear, non-separable, and weird. I would like to have a direction to start working on this. I tried writing sin(2y) = 2sin(y)*cos(y). See, ##xy' = x^3sin^2(y)-...
Homework Statement :[/B] Find the general solution of the Trigonometric equation $$\sin {3x}+\sin {x}=\cos {6x}+\cos {4x} $$ Answers given are: ##(2n+1)\frac {\pi}{2}##, ##(4n+1)\frac {\pi}{14}## and ##(4n-1)\frac {\pi}{6}##. Homework Equations :[/B] Equa...
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