Rewrite with dy/dx: | |
Multiply both sides by y^3 | |
Multiply both sides by dx. We now have our variables separated and ready to integrate: | |
Integrating both sides: | |
Using y(1)=2 to solve for C, we find that C = 3. | |
Our new equation with C: | |
Multiplying both side by 4: | |
Taking the 4th root of both sides to solve for y gives us our final answer: | |
Step-by-step examples of different types of problems that may be assigned as homework.
Thursday, December 22, 2011
Solve the Differential Equation: y'=(3x^2)/(y^3) where y(1)=2
Solve the differential equation y'=3x^2/y^3 where y(1)=2:
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