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Rewrite the differential equation using Leibniz notation
Learn how to solve differential equations problems step by step online.
$\frac{dx}{dt}=t\left(x+1\right)$
Learn how to solve differential equations problems step by step online. Solve the differential equation x^'=t(x+1). Rewrite the differential equation using Leibniz notation. Multiply the single term t by each term of the polynomial \left(x+1\right). Rearrange the differential equation. We can identify that the differential equation has the form: \frac{dy}{dx} + P(x)\cdot y(x) = Q(x), so we can classify it as a linear first order differential equation, where P(t)=-t and Q(t)=t. In order to solve the differential equation, the first step is to find the integrating factor \mu(x).