5. Given the differential equation: e(dy/dx) 2x (a) Find the general solution (b) Graph particula...
5. Given the differential equation: dy 1 +-y = 3x2 dx Find (a) (b) the general solution for the differential equation; and (6 marks) the particular solution for the differential equation if the boundary condition is y(1) =2. (2 marks)
Find the solution of the differential equation with the given initial condition. Dy/dx = 2x + sec^2x/2y, y(0) = 5.
consider the differential equation dy/dx = -2x/y. find the
particular solution y = f(x) to the guven differential equation
witht the intial condition f(1)= -1
umowed for this question. D Consider the differential equatio find the particular solution y = f(x) to the given differential equation with the initial condition f(1) = -1 46) = -1 Hy=f2 xdx 17 2 + C = -x +C (b) (9.6) be the region in the first quadrant bounded by the graph of y...
Solve the given differential equation. (x2 4) dy (2x - 10xy) dx + 1 + 5 2+4)5
Solve the given differential equation. (x2 4) dy (2x - 10xy) dx + 1 + 5 2+4)5
Find the general solution to the system of differential equations: dx/dt = 2x - y dy/dt = 3x - 2y please write legible
4. Consider the homogeneous differential equation dy d y dy-y=0 dx3 + dx2 dx - y (a) Show that 01 (C) = e is a solution. (b) Show that 02 (2) = e-* is a solution. (c) Show that 03 (x) = xe-" is a solution. (d) Determine the general solution to this homogeneous differential equation. (e) Show that p (2) = xe" is a particular solution to the differential equation dy dy dy dx3 d.x2 - y = 4e*...
Find the general solution for the differential equation. x dy/dx + 3y = 4x2 – 3x; x>0 y=_______
Find the particular solution to the given differential equation that satisfies the given conditions. d2y 9 dy 14y= 12 - ex; 4) dx dx2 and y - 29 when x = 0 42 dy dx 2 2x A) y B) y 7 6 7 6 사우-등나을이건을. 22x+ 27x-6_1 ex 2 2x-2,7x,6_1 5 7 6 C) y D) y 7 6
Find the particular solution to the given differential equation that satisfies the given conditions. d2y 9 dy 14y= 12 -...
Find a particular solution to the differential equation using the Method of Undetermined Coefficients. dy dy -5 + 2y = x e* dx? dx A solution is Yp(x) =
2. Show that the differential equation below is exact and find the general solution. (2xy + 2 y) dx + (2x+y+2x)dy-0