Solve the differential equation with the given initial condition. y' + 2xy = 8x y(0) =...
Solve the differential equation given the initial condition provided. Do not solve explicity for y. = xy? – xy” cos x, y(0) = 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 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.
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
Question 4 Solve the differential equation. 2xy' + y = 2V* Question 5 Solve the initial value problem xy' + y = xln x , y(1) = 0 Question 7 Find the derivative. c = tet, g =t+ sin t Question 8 Find the equation of the tangent to the curve at the given point. x = ť – t, y=ť +t+1 ; (0,3)
Solve the differential equation y' 3t2 4y - with the initial condition y(0)= - 1. y =
Solve the given initial-value problem. (x + y)2 dx + (2xy + x2 – 8) dy = 0, y(1) = 1 (x + y)3 (x + y)2 - 8x = -1
Solve the given linear differential equation subject to the indicated initial condition. dy 1 -y= xe* ; y1)= e-1 dx х y= xe" ;
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