Question

Consider the differential equation for a function f(t), tf"(t)+f'(t)-f((t))^2=0 a) What is the order of this differential equation? b) Show that f(t)=

Differential equations
ANSWERED
asked 2021-06-06

Consider the differential equation for a function f(t),
\(tf"(t)+f'(t)-f((t))^2=0\)
a) What is the order of this differential equation?
b) Show that \(f(t)=\frac{1}{t}\) is a particular solution to this differential equation.
c) Find a particular solution with \(f(0)=0\)
2. Find the particular solutions to the differential equations with initial conditions:
a)\(\frac{dy}{dx}=\frac{\ln(x)}{y}\) with \(y(1)=2\)
b)\(\frac{dy}{dx}=e^{4x-y}\) with \(y(0)=0\)

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2021-06-07
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