This equation is separable, but
doesn't have an elementary antiderivative. However, we can use the fundamental theorem of calculus to find a solution in terms of an integral:
![\dfrac{\mathrm dy}{\mathrm dx}=\sin(x^2)](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20dy%7D%7B%5Cmathrm%20dx%7D%3D%5Csin%28x%5E2%29)
![\implies y(x)=y(\sqrt\pi)+\displaystyle\int_{\sqrt\pi}^x\sin(u^2)\,\mathrm du](https://tex.z-dn.net/?f=%5Cimplies%20y%28x%29%3Dy%28%5Csqrt%5Cpi%29%2B%5Cdisplaystyle%5Cint_%7B%5Csqrt%5Cpi%7D%5Ex%5Csin%28u%5E2%29%5C%2C%5Cmathrm%20du)
![\implies y(x)=4+\displaystyle\int_{\sqrt\pi}^x\sin(u^2)\,\mathrm du](https://tex.z-dn.net/?f=%5Cimplies%20y%28x%29%3D4%2B%5Cdisplaystyle%5Cint_%7B%5Csqrt%5Cpi%7D%5Ex%5Csin%28u%5E2%29%5C%2C%5Cmathrm%20du)
150%
If the denominator is 100, the numerator is already in the value of percentage.
Answer:
100 litres
Step-by-step explanation: