13 please why we get this ans form.on of the given initial value problem in explicitb. Plot the graph of the solution.solution is defined.c. Determine (at least approximately) the interval in which they'=(1-2x) y²,y(0) = -1/6y'=(1-2x)/y, y(1) = -2xdx+ye*dy = 0, y(0) = 19.10.11.12. dr/d0 = r²/0, r(1) = 213. y'=xy³ (1+x²)-1/2, y(0) = 114. y' = 2x/(1+2y), y(2) = 015. y' = (3x² - e*)/(2y-5), y(0) = 116. sin(2x) dx + cos(3y) dy = 0, y(π/2) = π/3Some of the results requested in Problems 17 through 22 can beobtained either by solving the given equations analytically or byplotting numerically generated approximations to the solutions. Tryto form an opinion about the advantages and disadvantages of eachapproach.G 17. Solve the initial value problemy'y' =1+3x²3y² - 6yand determine the interval in which the solution is valid.Hint: To find the interval of definition, look for points where theintegral curve has a vertical tangent.G 18. Solve the initial value problem=y(0) = 13.x²3y² - 4y(1) = 0and determine the interval in which the solution is valid.Hint: To find the interval of definition, look for points where theintegral curve has a vertical tangent.2.w24whbehHodyonlcanthehomThecontethe he form.on of the given initial value problem in explicitb. Plot the graph of the solution.solution is defined.c. Determine (at least approximately) the interval in which they'=(1-2x) y²,y(0) = -1/6y'=(1-2x)/y, y(1) = -2xdx+ye*dy = 0, y(0) = 19.10.11.12. dr/d0 = r²/0, r(1) = 213. y'=xy³ (1+x²)-1/2, y(0) = 114. y' = 2x/(1+2y), y(2) = 015. y' = (3x² - e*)/(2y-5), y(0) = 116. sin(2x) dx + cos(3y) dy = 0, y(π/2) = π/3Some of the results requested in Problems 17 through 22 can beobtained either by solving the given equations analytically or byplotting numerically generated approximations to the solutions. Tryto form an opinion about the advantages and disadvantages of eachapproach.G 17. Solve the initial value problemy'y' =1+3x²3y² - 6yand determine the interval in which the solution is valid.Hint: To find the interval of definition, look for points where theintegral curve has a vertical tangent.G 18. Solve the initial value problem=y(0) = 13.x²3y² - 4y(1) = 0and determine the interval in which the solution is valid.Hint: To find the interval of definition, look for points where theintegral curve has a vertical tangent.2.w24whbehHodyonlcanthehomThecontethe he

Question

13 please why we get this ans form.on of the given initial value problem in explicitb. Plot the graph of the solution.solution is defined.c. Determine (at least approximately) the interval in which they'=(1-2x) y²,y(0) = -1/6y'=(1-2x)/y, y(1) = -2xdx+ye*dy = 0, y(0) = 19.10.11.12. dr/d0 = r²/0, r(1) = 213. y'=xy³ (1+x²)-1/2, y(0) = 114. y' = 2x/(1+2y), y(2) = 015. y' = (3x² - e*)/(2y-5), y(0) = 116. sin(2x) dx + cos(3y) dy = 0, y(π/2) = π/3Some of the results requested in Problems 17 through 22 can beobtained either by solving the given equations analytically or byplotting numerically generated approximations to the solutions. Tryto form an opinion about the advantages and disadvantages of eachapproach.G 17. Solve the initial value problemy'y' =1+3x²3y² - 6yand determine the interval in which the solution is valid.Hint: To find the interval of definition, look for points where theintegral curve has a vertical tangent.G 18. Solve the initial value problem=y(0) = 13.x²3y² - 4y(1) = 0and determine the interval in which the solution is valid.Hint: To find the interval of definition, look for points where theintegral curve has a vertical tangent.2.w24whbehHodyonlcanthehomThecontethe he form.on of the given initial value problem in explicitb. Plot the graph of the solution.solution is defined.c. Determine (at least approximately) the interval in which they'=(1-2x) y²,y(0) = -1/6y'=(1-2x)/y, y(1) = -2xdx+ye*dy = 0, y(0) = 19.10.11.12. dr/d0 = r²/0, r(1) = 213. y'=xy³ (1+x²)-1/2, y(0) = 114. y' = 2x/(1+2y), y(2) = 015. y' = (3x² - e*)/(2y-5), y(0) = 116. sin(2x) dx + cos(3y) dy = 0, y(π/2) = π/3Some of the results requested in Problems 17 through 22 can beobtained either by solving the given equations analytically or byplotting numerically generated approximations to the solutions. Tryto form an opinion about the advantages and disadvantages of eachapproach.G 17. Solve the initial value problemy'y' =1+3x²3y² - 6yand determine the interval in which the solution is valid.Hint: To find the interval of definition, look for points where theintegral curve has a vertical tangent.G 18. Solve the initial value problem=y(0) = 13.x²3y² - 4y(1) = 0and determine the interval in which the solution is valid.Hint: To find the interval of definition, look for points where theintegral curve has a vertical tangent.2.w24whbehHodyonlcanthehomThecontethe he

Accepted Answer

Answered: Image /qna-images/answer/26600c2a-ab3d-478d-8377-82d5386e328f.jpg

y' = xy³ (1+x²)-1/2, y(0) = 1