Help me correct this one, please. Growth ProblemsApplications of Differential Equations: Growth ProblemsSuppose a population of insect increases at a rate proportional to the amount present.There were 100 insects after the third day of the experiment and 250 insects after the seventh day.Approximately how many insects were in the original population? How many insects will there be after 24 days?Solve the equation via MATLAB making sure that you passed though the following:1. Initialization of variables2. Setting up the differential equations3. Listing down initial Conditions4. Solving for the parameter k.5. Finding the resulting model6. Finding the population at t=0 and t= 247. Graph the equationAssessment: 7 of 10 Tests Passed (70%)The Differential Equation ModelIs the model for condition 1 properly set?Variable k1 must be of data type sym. It is currently of type symfun. Check where the variable is assigned a value.Is the model for condition 1 properly set?Variable k2 must be of data type sym. It is currently of type symfun. Check where the variable is assigned a value.The growth rate constant factorVariable k has an incorrect value.The decimal value of Initial PopulationThe General ModelThe initial PopulationThe Population at 24 daysFunctions UsedMy Solutions The Final PopulationSubmit10% (10%)0% (10%)0% (10%)0% (10%)10% (10%)10% (10%)10% (10%)10% (10%)10% (10%)10% (10%)Total: 70% Script1 % Suppose a population ofinsect increases at a rate proportional to the amount present.after the third day of the experiment and 250 insects after the seventh day.2 % There were 100 insects3% Approximately how many insects were in the original population? How many insects will there be after 24 days?8945 %Setup the variables P(t), k that will be used in the program. Find also the derivative of P(t) and set as dp6 syms P(t) kt;7 dp = diff (P);1011 %Initial Conditions12 cond1=P(3) == 100;13 cond2=P(7) == 250;1415 %Set the differential equation model as eqn1;16 eqn1 = dp==k*P;171819 %Find k1 and k2, by solving the initial value problem eqnl using condl and cond2, respectively.20 k1(t, k)=dsolve (eqn1, cond1);21 k2(t, k)=dsolve (eqn1, cond2);2223 % Solve for k by equating k1 and k2 at t-0. Save results as k.24 Sol1(k)= k1(0,k)-k2(0,k)25 Res1-solve(Sol1(k));Save26 % Solve the eqn1 using the acquired value of k and using Initial value cond1.27 fprintf('Value of k is
');28 disp(Resl)29 %Evaluate Psoln at t=0, save your answer as P0. Express your answer in decimals, save answer as Po.30 Psoln(t) = k1(t, Res1);31 x = linspace(-1,25,100);32 y Psoln(x);33 PO Psoln(0);34 Po double (PO)35 %Evaluate Psoln at t=24, save your answer as P24. Express your answer in decimals, save answer as Po24.36 P24 Psoln (24);37 Po24 double (P24);38 %Graphing of Output (Take note of the Code)39 Title "Growth Problem";40 XValue= "Days";41 YValue = "Number of Insects";42 plot (x, y, 'b--');43 hold on;44 title (Title);45 xlabel (XValue);46 ylabel (YValue);47 plot (0, Psoln (0), '*');C Reset48 plot (24, Psoln (24), '*');49 hold off;

Question

Help me correct this one, please. Growth ProblemsApplications of Differential Equations: Growth ProblemsSuppose a population of insect increases at a rate proportional to the amount present.There were 100 insects after the third day of the experiment and 250 insects after the seventh day.Approximately how many insects were in the original population? How many insects will there be after 24 days?Solve the equation via MATLAB making sure that you passed though the following:1. Initialization of variables2. Setting up the differential equations3. Listing down initial Conditions4. Solving for the parameter k.5. Finding the resulting model6. Finding the population at t=0 and t= 247. Graph the equationAssessment: 7 of 10 Tests Passed (70%)The Differential Equation ModelIs the model for condition 1 properly set?Variable k1 must be of data type sym. It is currently of type symfun. Check where the variable is assigned a value.Is the model for condition 1 properly set?Variable k2 must be of data type sym. It is currently of type symfun. Check where the variable is assigned a value.The growth rate constant factorVariable k has an incorrect value.The decimal value of Initial PopulationThe General ModelThe initial PopulationThe Population at 24 daysFunctions UsedMy Solutions >The Final PopulationSubmit10% (10%)0% (10%)0% (10%)0% (10%)10% (10%)10% (10%)10% (10%)10% (10%)10% (10%)10% (10%)Total: 70% Script1 % Suppose a population ofinsect increases at a rate proportional to the amount present.after the third day of the experiment and 250 insects after the seventh day.2 % There were 100 insects3% Approximately how many insects were in the original population? How many insects will there be after 24 days?8945 %Setup the variables P(t), k that will be used in the program. Find also the derivative of P(t) and set as dp6 syms P(t) kt;7 dp = diff (P);1011 %Initial Conditions12 cond1=P(3) == 100;13 cond2=P(7) == 250;1415 %Set the differential equation model as eqn1;16 eqn1 = dp==k*P;171819 %Find k1 and k2, by solving the initial value problem eqnl using condl and cond2, respectively.20 k1(t, k)=dsolve (eqn1, cond1);21 k2(t, k)=dsolve (eqn1, cond2);2223 % Solve for k by equating k1 and k2 at t-0. Save results as k.24 Sol1(k)= k1(0,k)-k2(0,k)25 Res1-solve(Sol1(k));Save26 % Solve the eqn1 using the acquired value of k and using Initial value cond1.27 fprintf('Value of k is 
');28 disp(Resl)29 %Evaluate Psoln at t=0, save your answer as P0. Express your answer in decimals, save answer as Po.30 Psoln(t) = k1(t, Res1);31 x = linspace(-1,25,100);32 y Psoln(x);33 PO Psoln(0);34 Po double (PO)35 %Evaluate Psoln at t=24, save your answer as P24. Express your answer in decimals, save answer as Po24.36 P24 Psoln (24);37 Po24 double (P24);38 %Graphing of Output (Take note of the Code)39 Title &#34;Growth Problem&#34;;40 XValue= &#34;Days&#34;;41 YValue = &#34;Number of Insects&#34;;42 plot (x, y, 'b--');43 hold on;44 title (Title);45 xlabel (XValue);46 ylabel (YValue);47 plot (0, Psoln (0), '*');C Reset48 plot (24, Psoln (24), '*');49 hold off;

Accepted Answer

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