dy 4. Solve the following differential equation dir = e2r-3y+4 with y(0) = 0.
No 4. Solve the differential equation dy dx . Solve the initial value problem: y" + 3y' + 2y 10 cosx, y(0) 1,y'(0) 0
Use the method for solving Bernoulli equations to solve the following differential equation. dy dx +3y = e Xy - 8 Ignoring lost solutions, if any, the general solution is y=0 (Type an expression using x as the variable.)
of 3. Solve the differential equation y de + - dx +(2y Inx - 3sin (3y)) dy = 0.
Solve the differential equation y' + 3y = 0 by means of Fourier transforms
Soru 1 Solve the differential equation (3y +Sxy2) dx + (x + 4x2y) dy - 0 by finding an integrating factor depending on x А x2y + 3x3y2 = 0 B 3xy + 4x2y2 = 0 x3y + 2x3y2 - C x3y + 2xtc
Solve the separable differential equation (y2+2)dx+y(x+4)dy=0.
8. Solve the following differential equation given the initial condition y(0) = -5: dy 2.c dr 1+22 9. Solve the following differential equation using the method of separation of variables: dy = x²y. dic
The differential equation : dy/dx = 2x -3y , has the initial conditions that y = 2 , at x = 0 Obtain a numerical solution for the differential equation, correct to 6 decimal place , using , The Euler-Cauchy method The Runge-Kutta method in the range x = 0 (0.2) 1.0
4. Solve the exact differential equation. (1-2xy)dx + (4y3 - x2)dy 0
4. Solve the exact differential equation. (1-2xy)dx + (4y3 - x2)dy 0
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*...