Solve the Bernoulli Equation \(y’=(A\cos t+B)y-y^3\).

Solve the Bernoulli Equation \(t^2y'+2ty-y^3=0\).

We found two solutions to this problem presented by two different people. If the first one doesn't help you, try the second one.

Solve the Bernoulli Equation \(y'+xy=xy^2\).

Solve the Bernoulli Equation \(\displaystyle{ xy'+y=\frac{1}{y^2} }\).

Solve the Bernoulli Equation \(\displaystyle{ \frac{dy}{dx} + y = xy^4 }\).

Solve the Bernoulli Equation \(\displaystyle{ \frac{dy}{dx} = \sqrt{y} - y; y(0) = 9 }\).

Solve the Bernoulli Equation \(\displaystyle{ \frac{dy}{dx} - \frac{1}{x}y = xy^2 }\).

Solve the Bernoulli Equation \(\displaystyle{ y' + \frac{2}{x}y = -x^9y^5; y(1) = 1 }\).

Solve the Bernoulli Equation \( y' = -y(1 + xy^2) \).

Solve the Bernoulli Equation \(\displaystyle{ y' + \frac{4}{x} y = x^3y^2 }\).

This problem was solved by three different people. We include all three videos here in case one helps you more than the other.

Solve the Bernoulli Equation \( y' + 2xy = xy^3 \).

Solve the Bernoulli Equation \(\displaystyle{ y' + \frac{1}{t}y = -ty^3 }\).

Solve the Bernoulli Equation \(\displaystyle{ \frac{dy}{dt} = 2y + y^5; y(0) = 1 }\).