differential equations initial value
differential equations initial value 8) (ex,a -ax)Dx +&* YD, DO Y(0)=2
4. Find the value of x(0.3) for the coupled first order differential equations together with initial conditions dx x(0) 0 and y(0)=1 sint, dt 4. Find the value of x(0.3) for the coupled first order differential equations together with initial conditions dx x(0) 0 and y(0)=1 sint, dt
Solve the system of differential equations dx/dt = x-y, dy/dt = 2x+y subject to the initial conditions x(0)= 0 and y(0) = 1.
Question 2: solve the differential equations a) (xy - y)dx + - x)dy = 0
Solve the given differential equations: х 1. y' = y(0) = -2 y+x2y 2. 3x²y dx – (x3 + y3)dy = 0 , y(1) = -2
Solve the following differential equations or initial value problems: (90) 1. (4.2.3y2 - 6x”y – 22 – 3)dx + (2x4y – 2x®)dy = 0 y(1) = 3
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
exact differential equations 2. Solve the initial value problem: (2.1 – y) + (2y – r)y' = 0) with y(1) = 3. 3. Find the numerical value of b that makes the following differential equation exact. Then solve the differential equation using that value of b. (xy? + br’y) + (x + y)x+y = 0
Q1: Solve the following Differential Equations: a) *** - 3y , initial condition y = 2,x= -3 (15 points) b) xer+ y = 0 inition condition, y = 1 when x = 0 (15points) c) + y = ex (15Points)
2. Use the method for solving homogeneous equations to solve the following differential equation 8(x2 + y2)dx + 9xydy = 0 3. Solve the initial value problem y" – 4y' + 4y = 0, 17 y(0) = -3, y'(0) = 4
No 4. Solve the differential equation dy dx . Solve the initial value problem: y" + 3y' + 2y 10 cosx, y(0) 1,y'(0) 0