



Q1: Solve the ODE: f) Vyy' + y3/2-1. y(1) = 0. g) (2x +y)dx(2x+y-1)dy 0. i) dx=xy2e": y(2)=0. j) ...
# Q(1) SOLVE A SIMPLE ODE # the ODE, dy/dx + y = x, y(0) = 1 can be analytically solved to get # the equation y(x) = x + 2*exp(-x) - 1. # Show that you can use ODEINT to match that performance using pyplot This is in python
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
1. Solve x(1 – x2)dy + (2x²y - y -ax3) dx = 0.
7. Solve the following differential equations. dy 2 y= 5x, x>0. + a) dx dx 1+2x 4e', t>0 b) t dt
7. Solve the following differential equations. dy 2 y= 5x, x>0. + a) dx dx 1+2x 4e', t>0 b) t dt
(2x+ 2 x y²) dx + ( x ²) - 3y) dy = 0 solve your equation
Find an integrating factor of the form X"y" and solve the equation. (2x-172-9y)dx + (3y-6x) dy=0, y(1) =1 OA 4x2y3 – 3x3y2 = 1 08.3x2y3 – x3y2=2 ocx?y* - 3x4y2 = -2 D.*?y3 - 3x3y2=-2 Ex?y2 – 3x3y2 = -2
Solve the equation (2x)dx + (2y - 4x2y-1)dy = 0 An implicit solution in the form F(x,y)=C is _______ =C, where is an arbitrary constant, and _______ by multiplying by the integrating factor.
Solve for y(t). dy/dt + 2x = et dx/dt-2y= 1 +t when x(0) = 1, y(0) = 2
solve the following differential equations
(e* + 2y)dx + (2x – sin y)dy = 0 xy' + y = y? (6xy + cos2x)dx +(9x?y? +e")dy = 0 +2ye * )dx = (w*e * -2rcos x) di
dy dx 2x-1 Q1) find for the following functions a) y = b) y = x3e-* c) y = cos x + d) x3 + y2 = 1 x-3 1 tanx