What is the solution to the differential equation dydx=5y2 with the initial condition y(0) = 3?

Step-by-step explanation:

Integrating both sides yields:

Our solution is:

Differential equation is a way to represents the relation between the functions and their variables.The solution to the differential equation given in the question is,

The equation in the question is,

Differential equation is a way to represents the relation between the functions and their variables.

Rewrite the equation,

Integration both sides,

Here c is the integrating constant.

Now the given initial condition is,

Use this for the integrated function to find the value of the constant,

Put this value in equation we get,

Hence the solution to the differential equation given in the question is,

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(d)

step-by-step explanation:

given: the line in the graph passes through points (5,30) and (6,26).

then, the equation of line is:

now, put y=a(n) and x=n,

hence, option d is correct.