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What is the solution to the differential equation dy/dx = 6x?
Practice Questions
Q1
What is the solution to the differential equation dy/dx = 6x?
y = 3x^2 + C
y = 6x^2 + C
y = 2x^2 + C
y = 3x + C
Questions & Step-by-Step Solutions
What is the solution to the differential equation dy/dx = 6x?
Steps
Concepts
Step 1: Start with the differential equation dy/dx = 6x.
Step 2: To find y, we need to integrate the right side (6x) with respect to x.
Step 3: The integral of 6x is (6/2)x^2, which simplifies to 3x^2.
Step 4: When we integrate, we also add a constant 'C' to represent any constant value that could be added.
Step 5: So, the solution to the differential equation is y = 3x^2 + C.
No concepts available.
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