Use TSM To Solve The Initial Value (dy/dx)=x-y, y(0)=1 Compute y(0.1) ConsideringTermsUpto4thDegree
#mathematics,
#third_sem_engineering_mathematics,
#numerical_solution_of_ordinary_differential_equations_of_first_order_and_first_degree,
#numerical_methods_for_initial_value_problems,
#taylors_series_method,
#use_taylor's_series_method_to_find_y_at_x=0.1_0.2_0.3,
#considering_term_upto_the_third_degree_given_that_dy/dx=x²+y²_and_y(0)=1,
#find_y_at_x=1.02_correct_to_five_decimal_places_given_dy=(xy_minus_1)dx_and_y=2_at_x=1_applying_taylors_series_method,
#from_taylors_series_method_find_y(0.1)_considering_upto_4th_degree_term_if_y(x)_satisfies_the_equation_(dy/dx)=x-y^2_y(0)=1,
#use_taylors_series_method_to_obtain_a_power_serie_in_(x-4)_for_the_equatio_5xdy/dx+y^2-2=0;x(0)=4,y(0)=1_and_use_it_to_find_y_at_x=4.1_4.2_4.3_correct_to_four_decimal_places,
#use_taylors_series_method_to_find_y(4_1)_given_that_(dy/dx)=(1÷(x²+y))_and_y(4)=4,
#use_taylors_series_method_to_solve_y'=x²+y_in_the_range_x_varies_from_0_to_0.2,
#by_taking_step_size_h=0.1_given_that_y=10_at_x=0_initially_considering_terms_upto_the_fourth_degree,
#employ_taylors_series_method_to_find_y_at_x=0.1_and_0.2_correct_to_4_places_of_decimal_in_h=0.1,
#given_the_linear_differential_equation_(dy/dx)-2y=3e^x_whose_solution_passes_through_the_origin,
#also_find_y(0.1)_and_y(0.2)_by_analytical_method,
#using_taylors_series_method_obtain_the_values_of_y_at_x=0.1_0.2_0.3_to_4_significant_figures,
#if_y_satisfies_the_equation_y"=-xy_given_that_y'=0.5_and_y=1_when_x=0,
#taking_the_first_5_terms_of_the_taylors_series_expansion,
#assignment,
#use_taylors_series_method_to_solve_the_following_initial_value_problems,
#i)_(dy/dx)=x-y_y(0)=1_compute_y(0.1)_considering_terms_upto_fourth_degree,