|     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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