Differential Equation: Solving for h(t) with Constant a, b, and c

boacung
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Homework Statement



a*dh(t)/dt + h(t) = b * sin(c*t)

How can I get the equation for h(t) from this equation??

a,b,c are constant
 
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boacung said:

Homework Statement



a*dh(t)/dt + h(t) = b * sin(c*t)

How can I get the equation for h(t) from this equation??

a,b,c are constant
Hello boacung. Welcome to PF !

This is not how things are done at PF. We don't supply you with answers. We help you find the solution after you show us a reasonable attempt.
 

Thread 'Prove that the integral is equal to ##\pi^2/8##'

Prove $$\int\limits_0^{\sqrt2/4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx = \frac{\pi^2}{8}.$$ Let $$I = \int\limits_0^{\sqrt 2 / 4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx. \tag{1}$$ The representation integral of ##\arcsin## is $$\arcsin u = \int\limits_{0}^{1} \frac{\mathrm dt}{\sqrt{1-t^2}}, \qquad 0 \leqslant u \leqslant 1.$$ Plugging identity above into ##(1)## with ##u...
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