Problem 119E: Solve the following initial-value problems with the initial condition y0= 0 and graph the solution.... Problem 120E: Solve the following initial-value problems with the initial condition y0= 0 and graph the solution.... Problem 121E: Solve the following initial-value problems with the initial condition y0= 0 and graph the solution.... Problem 122E: Solve the following initial-value problems with the initial condition y0= 0 and graph the solution.... Problem 123E: Find the general solution to the differential equation. 123. x2y=(x+1)y Problem 124E: Find the general solution to the differential equation. 124. y=tan(y)x Problem 125E: Find the general solution to the differential equation. 125. y=2xy2 Problem 126E: Find the general solution to the differential equation. 126. dydt=ycos(3t+2) Problem 127E: Find the general solution to the differential equation. 127. 2xdydx=y2 Problem 128E: Find the general solution to the differential equation. 128. y=eyx2 Problem 129E: Find the general solution to the differential equation. 129. (1+x)y=(x+2)(y1) Problem 130E: Find the general solution to the differential equation. 130. dxdt=3t2(x2+4) Problem 131E: Find the general solution to the differential equation. 131. tdydt=1y2 Problem 132E: Find the general solution to the differential equation. 132. y=exey Problem 133E: Find the solution to the initial-value problem. 133. y=eyx,y(0)=0 Problem 134E: Find the solution to the initial-value problem. 134. y=y2(x+1),y(0)=2 Problem 135E: Find the solution to the initial-value problem. 135. dydx=y3xex2,y(0)=1 Problem 136E: Find the solution to the initial-value problem. 136. dydt=y2exsin(3x),y(0)=1 Problem 137E: Find the solution to the initial-value problem. 137. y=xsech2y,y(0)=0 Problem 138E: Find the solution to the initial-value problem. 138. y=2xy(1+2y),x(0)=0 Problem 139E: Find the solution to the initial-value problem. 139. dxdt=In(t)1x2,x(0)=0 Problem 140E: Find the solution to the initial-value problem. 140. y=3x2(y2+4),y(0)=0 Problem 141E: Find the solution to the initial-value problem. 141. y=ey5x,y(0)=In(In(5)) Problem 142E: Find the solution to the initial-value problem. 142. y'=-2xtan(y),y(0)=2 Problem 143E: For the following problems, use a software program or your calculator to generate the directional... Problem 144E: For the following problems, use a software program or your calculator to generate the directional... Problem 145E: For the following problems, use a software program or your calculator to generate the directional... Problem 146E: For the following problems, use a software program or your calculator to generate the directional... Problem 147E: For the following problems, use a software program or your calculator to generate the directional... Problem 148E: Most drugs in the bloodstream decay according to the equation y' = cy, where y is the concentration... Problem 149E: A drug is administered intravenously to a patient at a rate r mg/h and is cleared from the body at a... Problem 150E: [T] How often should a drug be taken if its dose is 3 mg, it is cleared at a rate c = 0.1 mg/h, and... Problem 151E: A tank contains 1 kilogram of salt dissolved in 100 liters of water. A salt solution of 0.1 kg... Problem 152E: A tank containing 10 kilograms of salt dissolved in 1000 liters of water has two salt solutions... Problem 153E: [T] For the preceding problem, find flow much salt is in the tank 1 hour after the process begins. Problem 154E: Torricelli’s law states that for a water tank with a hole in the bottom that has a cross-section of... Problem 155E: For the preceding problem, determine how long it takes the tank to drain. Problem 156E: For the following problems, use Newton’s law of cooling. 156. The liquid base of an ice cream has an... Problem 157E: For the following problems, use Newton’s law of cooling. 157. [T] The liquid base of an ice cream... Problem 158E: For the following problems, use Newton’s law of cooling. 158. [T] You are organizing an ice cream... Problem 159E: For the following problems, use Newton’s law of cooling. 159. You have a cup of coffee at... Problem 160E: For the following problems, use Newton’s law of cooling. 160. [T] You have a cup of coffee at... Problem 161E: For the following problems, use Newton’s law of cooling. 161. You have a cup of coffee at... Problem 162E: For the following problems, use Newton’s law of cooling. 162. You have a cup of coffee at... Problem 163E: For the following problems, use Newton’s law of cooling. 163. Solve the generic problem y ' = ay + b... Problem 164E: For the following problems, use Newton’s law of cooling. 164. Prove the basic continual compounded... Problem 165E: For the following problems, use Newton’s law of cooling. 165. Assume an initial nutrient amount of I... Problem 166E: For the following problems, use Newton’s law of cooling. 166. Leaves accumulate on the forest floor... Problem 167E: For the following problems, use Newton’s law of cooling. 167. Leaves accumulate on the forest floor... format_list_bulleted