Final answer to the problem
$\frac{1}{7}\ln\left|y\right|-\frac{1}{7}\ln\left|y+7\right|=x+C_0$
Got another answer? Verify it here!
Step-by-step Solution
How should I solve this problem?
- Choose an option
- Exact Differential Equation
- Linear Differential Equation
- Separable Differential Equation
- Homogeneous Differential Equation
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
- Integrate by parts
- Load more...
Can't find a method? Tell us so we can add it.
1
Grouping the terms of the differential equation
Learn how to solve problems step by step online.
$\frac{dy}{dx}=y^2+7y$
Learn how to solve problems step by step online. Solve the differential equation dy/dx-7y=y^2. Grouping the terms of the differential equation. 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}{y^2+7y}dy. Integrate both sides of the differential equation, the left side with respect to y, and the right side with respect to x.
Final answer to the problem
$\frac{1}{7}\ln\left|y\right|-\frac{1}{7}\ln\left|y+7\right|=x+C_0$
