find-the-general-solution-to-the-separable-equation-ew4ws8ssins22se-fracw4wprime

Question

Find the general solution to the separable equation: e−w4w′(s)=8ssin⁡(s2)−$$2se^{-\frac{w}$${4}}$$w^{\prime}(s)=8s$$\$$sin(s^2)-2s   $$

Accepted Answer

w=−4ln⁡(cos⁡(s2)+14s2+C)w=-4\ln\left(\$$cos(s^2$$)+\frac{1}{4}$$s^2+C$$\right)

Answer

w=4ln⁡(cos⁡(s2)+14s2+C)w=4\ln\left(\$$cos(s^2$$)+\frac{1}{4}$$s^2+C$$\right)

Answer

w=−2ln⁡(sin⁡(s2)+12s2+C)w=-2\ln\left(\$$sin(s^2$$)+\$$frac12s^2+C$$\right)

Answer

w=2ln⁡(sin⁡(s2)+12s2+C)w=2\ln\left(\$$sin(s^2$$)+\$$frac12s^2+C$$\right)

Find the general solution to the separable equation: e−w4w′(s)=8ssin(s2)−2se^{-\(\frac{w}{4}\)}w^{\(\prime\)}(s)=8s\(\sin\)(s^2)-2s