Find the solution to dy/dt = 6y Satisfying y(1)=7 y = ?

Q: 9. dx dt = x2 – 5x + 4 =

A:

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

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

Q: The complementary function of the differential equation d²y dx² 2 + 3x +y= dy dx 1 is (1-x)²

A:

Q: 2. で-5e dt = 4.

A: ∫xndx = xn+1n+1

Q: Find the solution. (dy/dx) + xy = xy³ A x = (ce-²-1) By = (ce²+1) 7² y = (ce x²-1) x = (ce)² + 1) ²…

A: We have given a differential equation ,  dydx + xy = xy3 Multiply throughout by dx ,  dy + xy dx =…

Q: 6. Find the derivative of y = t2 ? = 2t b) = 2t d) = 2 a) 2 dt 4..

A:

Q: e'dy + (5t + ye')dt = 0.

A:

Q: If A = 4x³ and (a) TRUE (b) FALSE dt dx 2, then dA dt = 150.

A: As we know the Power law; ddxxn=nxn-1 Given: A=4x3 and dtdx=2

Q: 5 +4y = 2 y(0)=1 dt

A: Given problem is:

Q: Find the differential of the function y = In(S - 2x) 2dx dy = (5-2x) dy = (5 – 2x )dx -2 (5-2x)dx…

A: Given : The function y = ln(s - 2x).   To find the differential of the function y = ln(s - 2x).

Q: 3. Find the derivative of y = | (12 +1) dt.

A:

Q: Find dy/dt of y=(1+lnx)/1-lnx

A: consider the equation

Q: If you have the equation dx/dt = a,are you allowed to multiply both sides by dt to change the…

A: We have given,