$8\%$

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Math$308$HW$4\_$Corrected

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Math$308$H$..$

Math $308$ Spring $25$

Homework $4-$ Page $5$ of $6$

$02/03/2$

$7.$ Solve the ODE $(3t^{2}x2tx{x}^3)(t^2{x}^2)x^{\text{'}}=0$

$(3t^{2}x2x^3)(t^2{x}^2)x^2=0$

$(t^2{x}^2)\frac{dx}{dt}=-3(3t^{2}x2x{x}^3)$

$\frac{dx}{dt}=\frac{-(3t^{2}x2x{x}^3)}{t^2{x}^2}$

$3t^{2}x2x{x}^3,t^2{x}^3$

$\frac{M}{dx}=3t^{2}2t3x^2$

$\frac{N}{dx}=2t$