Solve the given initial-value problem. dx dt dy = 16x - y dt x(1) = 0, y(1) = 1 = -9x - y

Q: Suppose that x and y represent the amounts of two basic inputs for a production process and…

A: Suppose that x and y represent the amounts of two basic inputs for a production process   The…

Q: find the a general solution to dy/dt = {{-9,12},{6,-8}}y

A: (.)  Given ,            (.)  Consider a system of differential equation ,…

Q: Solve dy/dx=ax+by+c

A: We need to use substitution method to convert it into separable form

Q: If t = x + ex, find d2x/dt2 given dx/dt = 1 / 1+ex.

A: dcdt=0 , where , 'c' is any constant. dexdt=ex .dxdt

Q: Using z=(x+y)ey x=14t  y=1-t14  find dz/dt. I need explanation for each step done. Thank you so…

A:

Q: g(x) dt + 1 %3D

A: To evaluate∫1x1t3+1dt

Q: Let 3x3-y3 = 2. What is the value of dx/dt if dy/dt = -2 when x = 1?

A: To find the derivative of x with respect to t.

Q: F(x) = 9t dt

A: given: Fx=∫0x29t dt Fx=∫0x29t dt=9∫0x2t dt=9t1+11+10x2=9t220x2=92t20x2=92x22-02=92x4-0=92x4

Q: If f(x) dx = 6, then f(t)dt =

A:

Q: dž 3 9. with x(0) = dt -1 -3 x1(t) = help (formulas) x2(t) : help (formulas)

A:

Q: Assume that the dynamics of caffeine absorption are given by Ct+1 = 0.87Ct , where t is time in…

A: NOTE: Refresh your page if you can't see any equations. . the given equation is  compare this…

Q: dy = 4x -3 and y(4) = 0. dx Find the function y(x) satisfying

A:

Q: Suppose a certain country's population has constant relative birth and death rates of 97 births per…

A:

Q: Solve the IVP explicitly: (2x + 6) dx/dt = −tsin(t2)          x(0) = −4

A: NOTE: Refresh your page if you can't see any equations. .

Q: If s = 4t² + 10t + 2, find the value of ds/dt when t = -2

A: Given s(t)=4t2+10t+2