Step 3 Now, we solve In(ly + 200,000|) = 0.04t + C for y. Since y is inside the natural logarithm, we need to exponentiale both sides of the equation. Exponentialing, then solving for y we have In(ly + 200,0001) = 0.04t + C In ( ly+ 2000001) e ly + 200000 = e0.04t + C y = 0.04t+C- 200000 C+0.04t _ 200000 Step 4 We have a general solution to our differential equation: y = e #+ - 200,000. To find the particular solution, we now find the value of the constant of integration that works with the initial condition. Substituting our initial condition y(0) = 0 into the general solution and solving for C, we have y(0) = 0 = e 0.04 +C _ 200,000 0 = 200000 200,000 = C = X