Question

Find the particular solution of the differential equation that satisfies the initial condition. (Enter your solu Differential Equation Initial Condition 16xy! – In(**) = 0, x > 0 y(1) = 50

Answer 1

Magic Date Page giren Does 16x9 '- ln (x²) y (1)=50 29دن and Since 16xy' ln (x²)=0 16xy' in a inu) da 16x dy en (x) dx 142 on integration both sides ln (28) de 16x y= de het. ln (20) = I da -du =X" = e. g=ee 8 d = id du => y = 1 16 " (%) du again let que + U23 de 1 - y = 8 e 16 7 (1) de A et dd 16 6+ t9 I II - Et fetas - F# +/e*w) } 2020/7/31 22:20

Magic Date Page + =) = 4 49 fet at & [te - et] te 49 Where e be Runtegration Constant y=4 e (t-1) te TY I en y = te (4-1) + (flsx 1) te (Ain) - te y- & (t) (2 in 1 -1) + c ina) e since y 1-50 50 = 4 78 1 ( 7 ene-l) to 50 = -4 to = =sofa = 2404 48 then Geneal solution is from equation 8 y = 4 x 7 49 ( Jednx -0) 4 601 8 12 2020/7/31 22:21