What is a Differential Equation?
It's an equation containing a derivative. Find the function that makes this true.
Drag to test
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Drop function here
Calc :
Calc :
{{ s1_machineState === 'correct' ? 'Match! ✅' : 'No Match ❌' }}
Separation of Variables
Group all terms with , and all terms with .
Original Equation
Drag to separate
Integrate Both Sides
Tap the boxes to find the correct antiderivative for each side.
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=
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Excellent! The general solution is:
Apply Initial Condition
Find the specific solution where y(0) = {{targetY}}
Slide to fit C
C = {{ s4_cValue }}
-505
Specific Solution:
🎉
Concept Mastered!
You verified a solution, separated variables, integrated, and found the specific curve using an initial condition.