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- Exact Differential Equation
- Linear Differential Equation
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- Homogeneous Differential Equation
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
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Rewrite the differential equation using Leibniz notation
Learn how to solve sum rule of differentiation problems step by step online.
$\frac{dy}{dx}=10^{-4}y-4\cdot 10^{-5}y^2+100$
Learn how to solve sum rule of differentiation problems step by step online. Solve the differential equation y^'=10^(-4)y-4*10^(-5)y^2+100. Rewrite the differential equation using Leibniz notation. Rearrange the differential equation. Simplifying. 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(x)=- 10^{-4} and Q(x)=100. In order to solve the differential equation, the first step is to find the integrating factor \mu(x).
