dy/dx = y-x/x-y
ydx + 2(x+y) =0
y' + 2xy = x^3
(x+y)dx + xdy =0
Consider the equation 2xy (y dx + x dy) = (y dx - xdy) sin - Is the equation exact? If not, find an integrating factor, and solve the equation that is exact with the integrating factor
15. (2xy + y^2 ) dx + (2xy + x^2 − 2x 2y^2 − 2xy^3 ) dy = 0
3) Show that w = ydx + xdy x² + y² is closed but , 0 = 0, where A, is the unit disk
Please show steps. Given 3 dy/dx + 2xy^2 = 5x^2 - x + 1, where y(0) = 5 and using a step size of dx = 1, the value of y(1) using Euler's method is most nearly 5.333 1.010 -0.499 17.822 Given 3 dy/dx + 2xy^2 = 5x^2 - x + 1, where y(0) = 5 and using a step size of dx = 1, the value of y(1) using Runge-Kutta 4^th order method is most nearly 5.333 1.010 -0.499...
(1 - -*)dx + (2xy + + + or? y? 2-)dy = 0 y J
2. Solve the differential equation (2xy + y)dx + (x2 + 3.ry2 – 2y)dy = 0. Answer: x²y + xy3 – y2 = C.
2. 2. Is y²dx + (2xy + cosy) dy = 0 exact?
Solve the differential equation and use matlab to plot the solution 2. dy +2xy f(x), y(0) = 2 dx f(x)=x0sx<1 l0 x 2 1 Solve the differential equation and use matlab to plot the solution 2. dy +2xy f(x), y(0) = 2 dx f(x)=x0sx
(2xy - y2 + 2) dx + (x2 – 2xy – 3) dy=0 (Exact Equation)
Solve the given initial-value problem. (x + y)2 dx + (2xy + x2 – 8) dy = 0, y(1) = 1 (x + y)3 (x + y)2 - 8x = -1