Probkem with variable interest. Problem: A person takes out a 15 year loan with an interest rate of 5% which grows linearly to 7% over the course of the loan. If the person can afford a monthly payment of $1,000, what is the maximum loan amount the persin can afford? The interest rate can be expressed as: QyQ+SSJyRzYiLCYkIiImISIjIiIiKiYtSSIqRyUqcHJvdGVjdGVkRzYkJCIiI0YpI0YqIiM6RipJInRHRiVGKkYqRio= LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic= print(); # input placeholder LCYkIiImISIjIiIiSSJ0RzYiJCIrTExMTDghIzc= JSFH Let y(t) be the amount the person owes at time t. We have the following differential equation. 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