WebJun 29, 2015 · $(x^2+y^2)dx−2xydy=0$ $\frac{dy}{dx}=\frac{x^2+y^2}{2xy} $..(i) This is a homogeneous differential equation because it has homogeneous functions of same degree 2. homogeneous functions are: $(x^2+y^2)$ and $2xy$, both functions have degree 2. Solution of differential equation: Equation (i) can be written as, WebNov 30, 2024 · Evaluate the line integral, where c is the given curve. C xy4 ds, c is the right half of the circle x2 + y2 = … Get the answers you need, now! jadensababe5527 jadensababe5527 11/30/2024 SAT High School answered ... ds = √((dx/dt)² + (dy/dt)²) dt = 2 dt. and the line integral is. Substitute u = sin(t) and du = cos(t) dt. Then. Advertisement
ordinary differential equations - Solution of $(x^2 + y^2)\ dx -2xy\ dy …
WebAug 5, 2024 · The remaining integral is just the area of the circle; its radius is 4, so it has an area of 16π, and the value of the integral is 64π. We'll verify this by actually computing … Webintegrate x^2 sin y dx dy, x=0 to 1, y=0 to pi; View more examples » Access instant learning tools. Get immediate feedback and guidance with step-by-step solutions for integrals and … microsoft sms認証
Line and surface integrals: Solutions - Gla
WebThe value of the integral ∮ C z + 1 z 2 − 4 d z in counter clockwise direction around a circle C of radius 1 with center at the point z = − 2 Q. The line integral ∫ P 2 P 1 ( y d x + x d y ) from P 1 ( x 1 , y 1 ) to P 2 ( x 2 , y 2 ) along the semi-circle P 1 P 2 shown in the figure is Web4. Let I = Z C ydx−xdy x2 +y2 where C is a circle oriented counterclockwise. (a) Show that I = 0 if C does not contain the origin. Solution: Let P = y x 2+y 2, Q = −x x +y and let D be … WebDerivative Calculator. Step 1: Enter the function you want to find the derivative of in the editor. The Derivative Calculator supports solving first, second...., fourth derivatives, as well as implicit differentiation and finding the zeros/roots. You can also get a better visual and understanding of the function by using our graphing tool. microsoft sms service provider