AP CALCULUS · Differential Equations · Standard

Differential Equations: Solve math with math. Find math.

Slope fields, separation, exponential growth.

Try the problem

Solve y′=x/yy'=x/y with y(0)=2y(0)=2. Find y(3)2y(\sqrt3)^2.

Hint and answer

Concept to use

Separate and integrate.

Hint

Separate variables to obtain y2=x2+4y^2=x^2+4.

Answer

7

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