Question

Use separation of variables to find the solution to the differential equation $\frac{dy}{dt} = y^2(6 + t)$, if $y = 2$ when $t = 1$. y(t) =

          Use separation of variables to find the solution to the differential equation $\frac{dy}{dt} = y^2(6 + t)$, if $y = 2$ when $t = 1$.
y(t) =

Use separation of variables to find the solution to the differential equation (dy)/(dt) = y^2(6 + t), if y = 2 when t = 1.
y(t) =

Added by Tom M.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Adi S

09/19/2022

Step 1

We start with the given differential equation: (dy/dt) = y^2(6 + t) Now, we can rewrite the equation as: (dy/y^2) = (6 + t) dt Show more…

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Use separation of variables to find the solution to the differential equation (dy)/(dt)=y^(2)(6+t), if y=2 when t=1. y(t)= Use separation of variables to find the solution to the differential equation (dy)/(dt)=y^(2)(6+t), if y=2 when t=1. y(t)= Use separation of variables to find the solution to the differential dy equation =y26+t,ify=2whent=1 dt y(t)=