Find the solution of the given initial value problem in explicit form. y′=(1−5x)y2, y(0)=−12 Enclose numerators and denominators in parentheses. For example, (a−b)/(1+n).

The solution is .

Step-by-step explanation:

A first order differential equation is called a separable equation if the function can be factored into the product of two functions of and :

where and are continuous functions.

We have the following differential equation

In the given case and .

We divide the equation by and move to the right side:

Next, integrate both sides:

Now, we solve for

We use the initial condition to find the value of C.

Therefore,

on monday rodney ate 1/4th of the sandwich = 3/12

on tuesday he ate 1/3rd of the sandwich = 4/12

therefore in total he has eaten = 3/12 + 4/12 = 7/12

thus we can say that he has eaten 7/12 of the sandwich on monday and tuesday alltogether.

happy to

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