Weby = sin x. Explanation of the correct option. Compute the required value. Given : x d y d x + y = x cos x + sin x. ⇒ d y d x + y x = cos x + sin x. Compare the equation with standard L.D.E. d y d x + P y = Q, P = 1 x and Q = cos x + sin x. Now, I. F. = e ∫ P dx = e ∫ 1 x dx ∫ 1 x dx = ln x = e ln x = x. Since the solution of L.D.E. is ... WebSolve your math problems using our free math solver with step-by-step solutions. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more.

Integral of Sin x - Formula, Proof, Examples l Integration of Sin x

WebHow to solve dxdy = cos(x −y)? Set u = x−y then dxdu = 1− dxdy and the original differential equation could be rewritten as 1− dxdu = cos(u) ⇒ dxdu = 1− cos(u) Using direct … Webcos x dy/dx + ysinx = 1 Divide by cosx both side dy/dx + ysinx/cosx = 1/cosx ( sinx/cosx=tanx, 1/cosx =secx) WHICH GIVES dy/dx+ ytanx = secx now IF = … d with mickey ears

Calculus III - Green

WebHow to solve dxdy = cos(x −y)? Set u = x−y then dxdu = 1− dxdy and the original differential equation could be rewritten as 1− dxdu = cos(u) ⇒ dxdu = 1− cos(u) Using direct integration ... You would get farther in a more direct way by setting u = siny, u′ = cos(y)y′ so that then from your first transformation 2xu′ = 2u+ u′3 ... WebExpert Answer. (1) Use Green's Theorem to evaluate the line integral xy dx + y dy where C is the unit circle orientated counterclockwise. (2) Use Green's Theorem to evaluate the line integral (In x + y) dx ? x^2 dy over the rectangle in the xy-plane with vertices at (1, 1), (3, 1), (1, 4), and (3, 4). (3) If C is a simple closed curve, what is ... WebWe can prove that the integral of sin x to be -cos x + C using the substitution method.For this, we assume that y = sin x. Then dy/dx = cos x (or) dy = cos x dx. By trigonometric identities, cos x = √1 - sin²x.Then the above equation becomes, d with line inside symbol