Solve the following equation with given initial condition: dy dx = xcos² y, y(0) = 0.
please solve the given differential equation 11. [y cos(xy) sin x] dx +xcos(xy) dy 0
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 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 with the given initial condition. Dy/dx = 2x + sec^2x/2y, y(0) = 5.
No 4. Solve the differential equation dy dx . Solve the initial value problem: y" + 3y' + 2y 10 cosx, y(0) 1,y'(0) 0
Solve the Bernoulli equation for y. dy 5y + yº. dt Use the following initial condition: y(0) = 1. y = Preview Points possible: 1 Unlimited attempts.
Solve the following differential equation with given initial condition. y' = 5ty - 8t, y(0) = 3 II
(1 point) Solve the separable differential equation dy da: 2 Subject to the initial condition: y(0) 8.
Consider the following initial value problem: dy = sin(x - y) dx, y(0) 1. Write the equation in the form ay = G(ax +by+c), dx where a, b, and c are constants and G is a function. 2. Use the substitution u = ax + by + c to transfer the equation into the variables u and x only. 3. Solve the equation in (2). 4. Re-substitute u = ax + by + c to write your solution in terms...
Find the solution of the differential equation dy dx = x y that satisfies the initial condition y(0)=−7. Answer: y(x)=