Solve the following differential equation with given initial condition. y' = 5ty - 8t, y(0) =...
(1 point) Solve the separable differential equation for u e5u+8t Use the following initial condition: u(0) = 15. U =
Solve the differential equation with the given initial condition. y' + 2xy = 8x y(0) = 0 y(x) =
Solve the following differential equation with given initial condition. y' = 11ty - 16t, y(0) = 4 Write the integral equation that results from applying the separation of variables technique. Write the particular solution that solves the initial value problem.
Solve the given differential equation with initial condition. y'-6y = 0, y(0) = 9 The solution is y(t) = (Type an exact answer.)
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
Solve the differential equation given the initial condition provided. Do not solve explicity for y. = xy? – xy” cos x, y(0) = 1
Solve the differential equation y' 3t2 4y - with the initial condition y(0)= - 1. y =
Solve the following equation with given initial condition: dy dx = xcos² y, y(0) = 0.
Solve the given integral equation or integro-differential equation for y(t). y(t) + 125 | ce–vy(v) dv=8t, y(o)=0 y(t) =
(1 point) Consider the initial value problem 4y 8t, y(0) 4, y'(0) 3. f both sides of the given differential equation to create the corresponding algebraic equation. Denote the Laplace transform of y(t) by Y(s). Do not move any terms from othe other (until you get to part (b) below). Take the Laplace transform one side of the equation help (formulas) b. Solve your equation for Y(8) Y(s) C{y(t) = Take the inverse Laplace transform of both sides of the...