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⇒...
Consider the system of linear equations inx,yandz:(sin3θ)x−y+z=0(cos2θ)x+4y+3z=03x+7y+7z=0Which of the following can be the value ofθfor which the system has a non-trivial solutionnπ+(−1)nπ6,∀n∈Znπ+(−1)nπ3,∀n∈Znπ+(−1)nπ9,∀n∈Znone of...
Find the general solution : dydx+(secx)y=tanx(0≤x<π2). 03:02 View Solution find the general solution ofsec2xtanydx+sec2ytanxdy=0 04:58 View Solution Doubtnut is No.1 Study App and Learning App with Instant Video Solutions for NCERT Class 6, Class 7, Class 8, Class 9, Class 10...
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...
In this study, we find the inherent linearity of the asymptotic solution of the inhomogeneous Teukolsky equation. On the basis of this property, we completely decouple the factors of the perturber and the background spacetime in the energy fluxes and waveforms. With the new decoupling form, the...
Find the general solution of the following equation. y'(t) = 3y -5 Differential Equation: To solve the differential equation of variable separable of the first order, we have: IfN(y)⋅y′=M(x),y′=dydx,then∫N(y)dy=∫M(x)dxAfirstorderseparableODEhastheformofN(y)⋅y′=M...
similarly, the general solution of cos x = cos y will be: cos x – cos y = 0 2sin (x + y)/2 sin (y – x)/2 = 0 sin (x + y)/2 = 0 or sin (x – y)/2 = 0 (x + y)/2 = nπ or (x – y)/2 = nπ on taking the common solution from both the conditions,...
where {eq}y_c(x) {/eq} is the complementary solution of the differential solution {eq}y_p(x) {/eq} is a particular solution which is calculated by using the formula {eq}y_{p}(x)=-y_{1}\int \dfrac{y_{2}g(x)}{W(y_{1},y_{2})}dx+y_{2}\i...
What methods can you use to find the general solution of the differential equation {eq}y' - y = \cos (t) - 1 {/eq}? . Particular Solution of a Differential Equation: We can define a particular solution of a differential equation with constant coefficient...
General solution of tantheta+tan((pi)/(2)-theta)=2 is 01:54 If sin((pi)/(4)costheta)=cos((pi)/(4)tantheta), then theta is equal to 01:30 The general solution of the equation tanx+ tan2x + tanx.tan2x= 1 is 01:46 The general solution of the equation tan x+tan(x+pi/3...