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The columns of I3 = are e1 = , e2 = , e3 = . Suppose that T is a linear transformation from 3 into 2 such that T( e1).
solve the initial value problem of the given linear differential equation and initial value. Give the largest interval I over which the general solution is defined
y' +2y/x = sin(x) , y(0)=2.
Solve the initial value problem for r vector as a vector function of t. d r vector/dt = 5/2 (t)^3/2 i + (t^2 + 4) j + 1/t + 1 k, r vector (0) = 2i + 3
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Solve the initial value problem yy+x=sqrt(x^2+y^2)with y(5)=sqrt(56).
To solve this, we should use the substitution
u=
u=
Enter derivatives using prime notation (e.g., you would enter y for dydx).
After the substitution from the previous.
Solve the initial value problem. Give the solution in explicit form.
Solve the initial value problem. Give the solution in explicit form. Dx/dy + y = 2xy, y(0) = pi
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Solve the initial value problem dy/dt = y(1-y), y(0) = -3. Write answer as a formula in the variable t. Hint: Use partial fractions. In particular note that: 1/y(1-y) = 1/y + 1/1-y
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Solve the initial value problem for r as a vector function of it.
Differential equation: dr/dt = -7t i - t j - 3t k
Initial condition: r(0) = 8 i + 9 j + 5 k
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