Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Separable Differential Equation
- Exact Differential Equation
- Linear Differential Equation
- Homogeneous Differential Equation
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
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The power of a quotient is equal to the quotient of the power of the numerator and denominator: $\displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}$
Learn how to solve differential equations problems step by step online.
$\frac{dy}{dx}=\frac{\left(2y+3\right)^2}{\left(4x+5\right)^2}$
Learn how to solve differential equations problems step by step online. Solve the differential equation dy/dx=((2y+3)/(4x+5))^2. The power of a quotient is equal to the quotient of the power of the numerator and denominator: \displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}. Group the terms of the differential equation. Move the terms of the y variable to the left side, and the terms of the x variable to the right side of the equality. Simplify the expression \frac{1}{\left(2y+3\right)^2}dy. Simplify the expression \frac{1}{\left(4x+5\right)^2}dx.