Solve the differential equation y' 3t2 4y - with the initial condition y(0)= - 1. y...
1. Find the particular solution of the differential equation dydx+ycos(x)=2cos(x)dydx+ycos(x)=2cos(x) satisfying the initial condition y(0)=4y(0)=4. 2. Solve the following initial value problem: 8dydt+y=32t8dydt+y=32t with y(0)=6.y(0)=6. (1 point) Find the particular solution of the differential equation dy + y cos(x) = 2 cos(z) satisfying the initial condition y(0) = 4. Answer: y= 2+2e^(-sin(x)) Your answer should be a function of x. (1 point) Solve the following initial value problem: dy ty 8 at +y= 32t with y(0) = 6. (Find y as...
Solve the differential equation with the given initial condition. y' + 2xy = 8x y(0) = 0 y(x) =
HELP 4) solve the differential equation y"+y= èx Satisfying the initial condition Y(0)=1 , Y'(o)=-1
Solve the given differential equation with initial condition. y'-6y = 0, y(0) = 9 The solution is y(t) = (Type an exact answer.)
Solve the following differential equation with given initial condition. y' = 5ty - 8t, y(0) = 3 II
Solve the differential equation given the initial condition provided. Do not solve explicity for y. = xy? – xy” cos x, y(0) = 1
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.
(1 point) Solve the separable differential equation dy da: 2 Subject to the initial condition: y(0) 8.
Find the solution of the differential equation, and then solve for the initial condition Find the solution of the differential equation, and then solve for the initial condition y(1)=1 x1nx=y(1+root 3+y^2)y
1. Solve the equation y" + 4y' + 5y = 0 with the initial conditions y(0) = /2, y'(0) = -5.