Question #79715

form differential for y=ax^3+bx^2 ?

Expert's answer

Answer on Question #79715 – Math – Differential Equations

Question

Form differential for y=ax3+bx2y = ax^3 + bx^2.

Solution

y=ax3+bx2y=3ax2+2bxdy=ydxdy=(3ax2+2bx)dx\begin{array}{l} y = a x^{3} + b x^{2} \\ y' = 3 a x^{2} + 2 b x \Rightarrow d y = y' d x \Rightarrow d y = (3 a x^{2} + 2 b x) d x \\ \end{array}


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