Differential Equations: Solve Initial Value Problem with a piecewise function and initial conditions
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Differential Equations: Solve Initial Value Problem with a piecewise function and initial conditions
Solve the following initial value problem for r as a function of t. Differential equation: Initial conditions: dar -= 3e ti -2e - tj + 9e 3tk dt? r(0) = 71 + 2 + 4k dr = - +5j dt 0
Solve the initial value problem for r as a vector function of t. dr Differential equation: = -32k . = 21 + 2] Initial conditions: r(0) = 60k and r(t) = (i+1+OK
differential equations Use the Laplace transform to solve the given initial-value problem. y' + 3y = et, y(0) = 2 y(t) =
4x - y, = 2x + y. Solve the system of differential equations with initial conditions x(0)=1, y(0)=2.
Differential Equations Solve the given initial value problem. y'" - 2y" - 36y' + 72y = 0 y(O)= -13, y'(O)= - 34y''(0) = - 308 y(x) = 0
exact differential equations 2. Solve the initial value problem: (2.1 – y) + (2y – r)y' = 0) with y(1) = 3. 3. Find the numerical value of b that makes the following differential equation exact. Then solve the differential equation using that value of b. (xy? + br’y) + (x + y)x+y = 0
differential equations Use the Laplace transform to solve the given initial-value problem. y" - sy' + 16y = t, Y(0) = 0, y'(0) = 1 y(t) =
differential equations Use the Laplace transform to solve the given initial-value problem. y" - y' = e cost, y(0) = 0, y'(O) = 0 y(t) =
differential equations Use the Laplace transform to solve the given initial-value problem. y" - 4y' + 4y = 6%e2t, y(0) = 0, y'(O) = 0 y(t) =
2. Solve the initial value problem for the given differential equation. 2. Solve the initial value problem for the given differential equation.