Please help out! I will rate thank you b) Solve the following ODE using the substitution,...
1. a) Solve the following linear ODE. dy * dx + 2y = 4x2, x > 0 b) Solve the following ODE using the substitution, u = dy (x - y) dx = y c) Solve the Bernoulli's ODE dy 1 + -y = dx = xy2 ; x > 0
Please show work & I will rate! Thanks 1. a) Solve the following linear ODE. dy + 2y = 4x? dx X X>0
PLEASE. ANSWER ONLY IN MATHEMATICA, THESE PROBLEMS CAN ONLY BE DONE IN MATHEMATICA. I NEED THEM TO BE DONE STRICTLY IN MATHEMATICA. WILL DOWN VOTEIF NOT DONE IN MATHEMATICA!!!!! (thank you in advance) Lab Exercise 1. Solve: (4xy3 - cos y -e ")dx + (6x2y* +xsin y 3) dy 0 2. Solve the initial value DE: (Cos(x)Sincx)- xy2 )dk + y(l-)dy-0, y(o)-2 3. a. Determine a function M(x y) so that the following DE is exact: Mx, y) dx +(xe+...
Solve the initial value problem 2yy' + 2 = y2 + 2x with y(0) = 4. To solve this, we should use the substitution u = With this substitution, y = y' = Enter derivatives using prime notation (e.g., you would enter y' for dy/dx). After the substitution from the previous part, we obtain the following linear differential equation in x, u, u'. The solution to the original initial value problem is described by the following equation in x, y.
Solve the following ode using Laplace transform: y' - 5y = f(t); y(0) - 1 t; Ost<1 f(t) = 0; t21
Please answer thank you b) dy 1 X>0 dxx-x,
2. Solve the following ODEs using an appropriate method. a) (ex + 1) .y = ev sin x b) dy 1 = -y - dx y=x. x > 0 c) (2x2y3 + 3y2) dy = -xy4 dx Cid
please explain in detail, thank you Solve the Cauchy problem for the diffusion equation ut = Uxx, xe (-0, 0), t > 0 (b) u(x,0) = x for x € (-1,1) and u(x,0) = 0 for other values of x.
please solve and show work clearly for both a and b Use an appropriate substitution to solve the given differential equation. 4. a) (x3y) dx - (3x +y) dy = 0 b) y(x +y+ 1)2 dr
ODE: y' + tanx * y = sin2x Solve this ODE by using Integrating Factor Please write neatly so I can follow computation. Thank you!