A Bernoulli differential equation is one of the form dy dx + 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 = y¹n transforms the Bernoulli equation into the linear equation 1-n du dx + (1 − n)P(x)u = (1 − n)Q(x). Use an appropriate substitution to solve the equation y and find the solution that satisfies y(1) = 1. y(x) = - 2 X Y y5

Q: Which of the following differential equations is an exact differential equation (x +)dx- xy đy-0…

Q: Show that y = x+vx +1 satisfies the differential equation (x + 1)°Y + x°Y. ydy -m³y 0 + X- dx2 dx