Question

1) \( \frac{d y}{d x}=\frac{y}{x} \) 2) \( \frac{d y}{d t}=t e^{y+t^{2}} \) 3) \( d s=\left(r^{2} s^{2}+\right. \)

          1) \( \frac{d y}{d x}=\frac{y}{x} \)
2) \( \frac{d y}{d t}=t e^{y+t^{2}} \)
3) \( d s=\left(r^{2} s^{2}+\right. \)

1) (d y)/(d x)=(y)/(x)
2) (d y)/(d t)=t e^y+t^2
3) d s=(r^2 s^2+.

Added by Saadet Burcu T.

Fundamentals of Differential Equations

R. Kent Nagle 9th Edition

Chapter 5

Instant Answer

Solved by Expert Adi S

Step 1

We can solve it by using the method of separation of variables. We can rewrite the equation as \(dy/y = dx/x\). Integrating both sides, we get \(\ln|y| = \ln|x| + C\), where C is the constant of integration. Exponentiating both sides, we get \(y = x \cdot e^C\), Show more…

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