4346 Solve the initial-value problems. (a) dydx = 1(2x)3 , y(1) = 0(b) dydt = sec2 t sin

Chapter 5, Problem 44

(choose chapter or problem)

Solve the initial-value problems.

(a) $\frac{d y}{d x}=\frac{1}{(2 x)^{3}}, y(1)=0$

(b) $\frac{d y}{d t}=\sec ^{2} t-\sin t, y\left(\frac{\pi}{4}\right)=1$

Equation Transcription:

$\frac{dy}{dx}=\frac{1}{(2x{)}^{3}},\ y(1)=0$

$\frac{dy}{dt}=se{c}^{2}t-sin\ t,\ y(\frac{\pi{}}{4})=1$

$\frac{dy}{dx}={x}^{2}\sqrt{{x}^{3}},\ y(0)=0$

Text Transcription:

dy/dx =1/(2x)^3 ,y(1)=0

dy/dt =sec^2 t-sint, y(pi/4)=1

dy/dx=x^2 sqrt x^3 ,y(0)=0

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