Solve for x (dy)/(dx)=5x-4

Problem

d(y)/d(x)=5*x−4

Solution

1. Separate the variables by multiplying both sides by d(x) to isolate the terms involving x on one side and d(y) on the other.

d(y)=(5*x−4)*d(x)

2. Integrate both sides of the equation to find the relationship between y and x

(∫_^)(d(y))=(∫_^)((5*x−4)*d(x))

3. Apply the power rule for integration, which states that (∫_^)(xn*d(x))=(x(n+1))/(n+1) and include the constant of integration C

y=(5*x2)/2−4*x+C

Final Answer

d(y)/d(x)=5*x−4⇒y=(5*x2)/2−4*x+C

Want more problems? Check here!