SOLVED:Solving a Bernoulli Differential Equation In Exercises 59-66, solve the Bernoulli differential equation. The Berchoulli equation is a well-known nonlinear equation of the form y^' P(x) y=Q(x) y^n that can be reduced to a linear form by a substitution. The general solution of a Bernoulli equation is y^1-n e^∫(1-n) P(x) d x=∫(1-n) Q(x) e^f(1-n) P(x) d x d x C y^' 3 x^2 y=x^2 y^3

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SOLVED: A Bernoulli differential equation is one of the formdy/dx P(x)y = Q(x)y^n Observe that, if n = 0 or n = 1, the Bernoulliequation is linear. For other values of n, thesubstitution u = y^(1-n) transforms the Bernoulli equationinto the linear equationdu/dx (1-n)*P(x)u = (1-n)Q(x).Consider the initial value problemxy' y = 2xy^2, y(1) = 4.(b) The substitution u = y^(1/2) will transform itinto the linear equationdu/dx (1/2)u = (1/2)x.(c) Using the substitution in part (b), we rew

SOLVED: 1. Get the Bernoulli of the differential equation.2. Get the general equation of the differential equation.3. Solve the differential equation using the coefficients linear method.4. Solve the differential equation using the appropriate method (based on the rule).5. Solve the differential equation using inspection.L)V' e4?exc X-UCOtx 2) W (1  tw?) dz-2 (12  w2 )dwzo 3) (x-3y tsldx t (axt5y t4 ldye0 4) (4@xY - 24y"dx = (3Cxy?   20x*t2ox"y-Iyxy Ildy 5) 4y(2x2 Fxy tdx (xzy)dueO

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