Enter the unknown the value that makes this statement true: 30% of _____ is 60.
1 answer:
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Answer:
Step-by-step explanation:
Given the differential equation dy/dx = 5y/x subject to the condition y = 4 and x = 1. Using the variable separable method of solving differential equation, we will have;
dy/dx = 5y/x
Separate the variables
dy/5y = dx/x
Integrate both sides of the expression
using the initial condition y = 4 while x = 1
ln4 = 5ln1 + 5C
ln4 = 0+5C
C = ln4/5
Substituting the value of C back into the expression;
<em>Hence the solution to the differential equation is y = 4x⁵</em>
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b) Given 4(du/dt) = u²
du/dt = u²/4
du/ u² = dt/4
u⁻²du = 1/4 dt
integrate both sides of the equation
Imputing the initial condition u(0) = 7 i.e when t = 0, u = 7
<em>Hence the solution to the DE is </em>