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Y. Kamenshchik, General solution of scalar field cosmology with a (piecewise) exponential potential, JCAP 10 (2011) 004, [arXiv:1105.4515].Andrianov, A.A., Cannata, F., Kamenshchik, A.Yu.: General solution of scalar field cosmology with a (piecewise) exponential potential. J. Cosmol. ...
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⇒...
View Solution 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,...
Find the general solution for: \sqrt{3}(\sin x+\cos x)^{2}=\cos 2x Find the general solution of x^2y'' -x(x+2)y'+(x+2)y =0 given that one of the solution is y(x)=x Find the general solution of (y^4-y) \frac{dy}{dx}=x...
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 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 ...
Find the particular solution to y ' = 3\sin(x) given that the general solution is y = C - 3\cos(x) and the initial condition y(n)= 1. Differential Equation Question Consider the DE x''+2x'+4x=Fcos(pt) where F and p are constants. ...
Find the general solution to the following differential equation: y′′ − y = 5e 2x cos(3x) (e) Find the general solution to the following differential equation: y′′ − y = x sin(3x) Please break it down on how you get the solution. Thank you!
Find the general solution of : sqrt(3)sec2theta=2 02:03 Find the value of 2cos^3(pi/7)-cos^2(pi/7)-cos(pi/7) 07:36 In acute angled triangle A B C ,A D is the altitude. Circle drawn with... 08:33 Show that sin^2 5^0+sin^2 10^0+sin^2 15^0++sin^2 90^0=9 1...