(1 point) Solve the differential equation (0,12 v) = 1 + x. dx Use the initial...
(1 point) Solve the separable differential equation dx Subject to the initial condition: y(0)-7. sqrt(11/4(sqrt(xA2+1))+47/4)
Consider the differential equation dy/dx = (y-1)/x. (a) On the axes provided, sketch a slope field for the given differential equation at the nine points indicated. (b) Let y = f (x) be the particular solution to the given differential equation with the initial condition f (3) = 2. Write an equation for the line tangent to the graph of y= f (x) at x = 3. Use the equation to approximate the value of f (3.3). (c) Find the particular solution y...
No 4. Solve the differential equation dy dx . Solve the initial value problem: y" + 3y' + 2y 10 cosx, y(0) 1,y'(0) 0
Find the solution of the differential equation dy dx = x y that satisfies the initial condition y(0)=−7. Answer: y(x)=
Solve the following Differential Equation :
=(x + y-1)2 dx
Solve the differential equation and use matlab to plot the solution 2. dy +2xy f(x), y(0) = 2 dx f(x)=x0sx<1 l0 x 2 1
Solve the differential equation and use matlab to plot the solution 2. dy +2xy f(x), y(0) = 2 dx f(x)=x0sx
(1 point) Find the particular solution of the differential equation + y cos(x) = 8 cos(x) dx satisfying the initial condition y(0) = 10. Answer: Y= Your answer should be a function of x.
Solve the given linear differential equation subject to the indicated initial condition. dy 1 -y= xe* ; y1)= e-1 dx х y= xe" ;
(1 point) A Bernoulli differential equation is one of the form dy dc + P(x)y= Q(x)y" Observe that, if n = 0 or 1, the Bernoulli equation is linear. For other values of n, the substitution u = yl-n transforms the Bernoulli equation into the linear equation du dr +(1 – n)P(x)u = (1 - nQ(x). Consider the initial value problem xy + y = 3xy’, y(1) = -8. (a) This differential equation can be written in the form (*)...
3. Given the ordinary differential equation: (x-2y) dx And the initial condition y(0) = 1, approximatey(0.5) using the Heun method and step sizes of 0.25.