Question
Find the general solution for each differential equation. Verify that each solution satisfies the original differential equation.$$\frac{d y}{d x}=-4 x+6 x^{2}$$
Step 1
We want to find the general solution, which means we need to integrate the right side of the equation. Show more…
Show all steps
Your feedback will help us improve your experience
Rebecca Polasek and 84 other Calculus 1 / AB educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Find the general solution of each of the differential equations in exercise. In each case assume $x>0$. $$ x^{2} \frac{d^{2} y}{d x^{2}}-4 x \frac{d y}{d x}+6 y=4 x-6 $$.
Explicit Methods of Solving Higher-Order Linear Differential Equations
The Cauchy-Euler Equation
Find the general solution for each differential equation. Verify that each solution satisfies the original differential equation. $$\frac{d y}{d x}=\frac{y^{2}+6}{2 y}$$
Differential Equations
Solutions of Elementary and Separable Differential Equations
Further Techniques and Applications of Integration
Solution of Elementary and Separable Differential Equations
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD