<Text-field style="Heading 1" layout="Heading 1">Using DEplot and Implicit plot to Solve 1st order ODE's</Text-field>
<Text-field style="Heading 2" layout="Heading 2">Using DEplot to solve an initial value problems for the 1st oder o.d.e. y'=y and the 1st order o.d.e. <Equation executable="false" style="2D Math" input-equation="" display="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">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2JkYrLUYjNidGKy1GIzYpLUkmbWZyYWNHRiQ2KC1GIzYmLUkjbW9HRiQ2L1EwJkRpZmZlcmVudGlhbEQ7RicvJSVib2xkR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSVib2xkRicvJStmb250d2VpZ2h0R0ZDLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZILyUpc3RyZXRjaHlHRkgvJSpzeW1tZXRyaWNHRkgvJShsYXJnZW9wR0ZILyUubW92YWJsZWxpbWl0c0dGSC8lJ2FjY2VudEdGSC8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRldGPkZBRkQtRiM2KEYrLUYjNidGOi1GLDYnUSJ0RidGPi8lJ2l0YWxpY0dGQC9GQlEsYm9sZC1pdGFsaWNGJ0ZERj5GQUZERitGPkZBRkQvJS5saW5ldGhpY2tuZXNzR1EiMUYnLyUrZGVub21hbGlnbkdRJ2NlbnRlckYnLyUpbnVtYWxpZ25HRmRvLyUpYmV2ZWxsZWRHRkgtRjs2LVExJkludmlzaWJsZVRpbWVzO0YnL0ZCUSdub3JtYWxGJ0ZGRklGS0ZNRk9GUUZTRlVGWC1GIzYoLUYsNidRInlGJ0Y+RltvRl1vRkQtRjs2LVEwJkFwcGx5RnVuY3Rpb247RidGXHBGRkZJRktGTUZPRlFGU0ZVRlgtSShtZmVuY2VkR0YkNiYtRiM2JkZobkY+RkFGREY+RkFGREY+RkFGREYrRj5GQUZELUY7Ni9RIj1GJ0Y+RkFGREZGRklGS0ZNRk9GUUZTL0ZWUSwwLjI3Nzc3NzhlbUYnL0ZZRl9xLUY2NigtRiM2Ji1JI21uR0YkNiZRIjFGJ0Y+RkFGREY+RkFGRC1GIzYoRistRiM2KUZlcS1GOzYvUSgmbWludXM7RidGPkZBRkRGRkZJRktGTUZPRlFGUy9GVlEsMC4yMjIyMjIyZW1GJy9GWUZhci1GIzYmLUklbXN1cEdGJDYlRmBwLUZmcTYmUSIyRidGPkZBRkQvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnRj5GQUZERitGPkZBRkRGK0Y+RkFGREZfb0Zib0Zlb0Znb0ZccEYrRlxwRitGXHA=</Equation></Text-field>QyQtSSV3aXRoRzYiNiNJKERFdG9vbHNHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiUhIiI=QyQ+SSRlcTFHNiIvLUklZGlmZkclKnByb3RlY3RlZEc2JC1JInlHRiU2I0kidEdGJUYuRisiIiI=QyQ+SSVpdnMxRzYiNyMvLUkieUdGJTYjIiIhIiIiRiw=QyQtSSdERXBsb3RHNiI2J0kkZXExR0YlLUkieUdGJTYjSSJ0R0YlL0YrOyIiISIiJi9GKTtGLiIjXUklaXZzMUdGJSIiIg==QyQ+SSVpdnMyRzYiNyMtSSRzZXFHJSpwcm90ZWN0ZWRHNiQvLUkieUdGJTYjIiIhLCRJIm5HRiUkIiIiISIiL0YxO0YzIiM1RjM=QyQtSSdERXBsb3RHNiI2J0kkZXExR0YlLUkieUdGJTYjSSJ0R0YlL0YrOyIiISIiJi9GKTtGLiIiI0klaXZzMkdGJSIiIg==Using DEplot to solve 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 subject to the initial condition y(0)=1QyQ+SSRlcTJHNiIvLUklZGlmZkclKnByb3RlY3RlZEc2JC1JInlHRiU2I0kidEdGJUYuLCQqJkYuIiIiRishIiJGMkYxp2:=DEplot(eq2,y(t),t=-1..1,[y(0)=1]):p2;Using DEplot to solve 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 subject to the initial condition y(0)= -1QyY+SSNwM0c2Ii1JJ0RFcGxvdEdGJTYmSSRlcTJHRiUtSSJ5R0YlNiNJInRHRiUvRi07ISIiIiIiNyMvLUYrNiMiIiFGMEYwRiRGMQ==Using implicitplot to solve initial value problems for 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 (eq2)QyQtSSV3aXRoRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiNJJnBsb3RzR0YlISIiBy the method of separation of variables LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzY/LUklbXN1cEdGJDYlLUkjbWlHRiQ2JVEidEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYkLUkjbW5HRiQ2JFEiMkYnL0Y2USdub3JtYWxGJ0Y+LyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RIitGJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRlgtRiw2JS1GLzYlUSJ5RidGMkY1RjhGQC1GRDYtUSI9RidGPkZHRkpGTEZORlBGUkZUL0ZXUSwwLjI3Nzc3NzhlbUYnL0ZaRl5vLUYvNiVRImNGJ0YyRjUtRkQ2LVEifkYnRj5GR0ZKRkxGTkZQRlJGVC9GV1EmMC4wZW1GJy9GWkZnby1GLzYlUSNpc0YnRjJGNUZjby1GLzYlUSNhbkYnRjJGNUZjby1GLzYlUSlpbXBsaWNpdEYnRjJGNUZjby1GLzYlUSlzb2x1dGlvbkYnRjJGNUZjby1GLzYlUSNvZkYnRjJGNUZjby1GLzYlUSRlcTJGJ0YyRjVGY28tRkQ2L1EkZm9yRicvJSVib2xkR0Y0L0Y2USVib2xkRicvJStmb250d2VpZ2h0R0ZhcUZHRkpGTEZORlBGUkZURmZvRmhvRmNvLUYvNiVRJmV2ZXJ5RidGMkY1RmNvLUYvNiVRJnZhbHVlRidGMkY1RmNvRmVwRmNvRmBvLUZENi1RIi5GJ0Y+RkdGSkZMRk5GUEZSRlRGZm9GaG9GPg==QyQ+SSJmRzYiZio2JEkidEdGJUkieUdGJUYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLCYqJDkkIiIjIiIiKiQ5JUYwRjFGJUYlRiVGMQ==The function f(t,y)=1 is the implicit solution of eq2 that satisfies the initial conditions y(0)=-1, and y(0)=1.QyQtSS1pbXBsaWNpdHBsb3RHNiI2JS8tSSJmR0YlNiRJInRHRiVJInlHRiUiIiIvRis7ISIiRi0vRixGL0YtUsing DEplot to solve 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 (eq2) subject to the initial condition y(0)=1p2:=DEplot({diff(y(t),t)=-t/y(t)},y(t),t=-1..1,[y(0)=1]):p2;Using DEplot to solve 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 (eq2) subject to the initial condition y(0) = -1QyY+SSNwM0c2Ii1JJ0RFcGxvdEdGJTYmPCMvLUklZGlmZkclKnByb3RlY3RlZEc2JC1JInlHRiU2I0kidEdGJUYyLCQqJkYyIiIiRi8hIiJGNkYvL0YyO0Y2RjU3Iy8tRjA2IyIiIUY2RjZGJEY1Using DEplot to solve the ode 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 (eq. 3) subject to the initial condition y(0)=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JSFHQyY+SSJnRzYiZio2JEkidEdGJUkieUdGJUYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLCg5JCIiIjklRi8qJEYwIiIkIyEiIkYyRiVGJUYlRjQtRiRGJ0YvQyQtSS1pbXBsaWNpdHBsb3RHNiI2JjwjLUkiZ0dGJTYkSSJ0R0YlSSJ5R0YlL0YrOyEiIiIiIy9GLDtGLyIiJS9JJWdyaWRHRiU3JCIjU0Y3IiIiUsing DEplot to solve the ode LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2JkYrLUYjNihGKy1GIzYpLUkmbWZyYWNHRiQ2KC1GIzYmLUkjbW9HRiQ2L1EwJkRpZmZlcmVudGlhbEQ7RicvJSVib2xkR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSVib2xkRicvJStmb250d2VpZ2h0R0ZDLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZILyUpc3RyZXRjaHlHRkgvJSpzeW1tZXRyaWNHRkgvJShsYXJnZW9wR0ZILyUubW92YWJsZWxpbWl0c0dGSC8lJ2FjY2VudEdGSC8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRldGPkZBRkQtRiM2KEYrLUYjNidGOi1GLDYnUSJ0RidGPi8lJ2l0YWxpY0dGQC9GQlEsYm9sZC1pdGFsaWNGJ0ZERj5GQUZERitGPkZBRkQvJS5saW5ldGhpY2tuZXNzR1EiMUYnLyUrZGVub21hbGlnbkdRJ2NlbnRlckYnLyUpbnVtYWxpZ25HRmRvLyUpYmV2ZWxsZWRHRkgtRjs2LVExJkludmlzaWJsZVRpbWVzO0YnL0ZCUSdub3JtYWxGJ0ZGRklGS0ZNRk9GUUZTRlVGWC1GIzYoLUYsNidRInlGJ0Y+RltvRl1vRkQtRjs2LVEwJkFwcGx5RnVuY3Rpb247RidGXHBGRkZJRktGTUZPRlFGU0ZVRlgtSShtZmVuY2VkR0YkNiYtRiM2JkZobkY+RkFGREY+RkFGREY+RkFGREYrRj5GQUZELUY7Ni9RIj1GJ0Y+RkFGREZGRklGS0ZNRk9GUUZTL0ZWUSwwLjI3Nzc3NzhlbUYnL0ZZRl9xLUYjNictRjs2L1EqJnVtaW51czA7RidGPkZBRkRGRkZJRktGTUZPRlFGUy9GVlEsMC4yMjIyMjIyZW1GJy9GWUZncS1GNjYoLUYjNiYtSSNtbkdGJDYmUSIxRidGPkZBRkRGPkZBRkQtRiM2KEYrLUYjNilGXXItRjs2L1EoJm1pbnVzO0YnRj5GQUZERkZGSUZLRk1GT0ZRRlNGZnFGaHEtRiM2Ji1JJW1zdXBHRiQ2JUZgcC1GXnI2JlEiMkYnRj5GQUZELyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJ0Y+RkFGREYrRj5GQUZERitGPkZBRkRGX29GYm9GZW9GZ29GPkZBRkRGK0ZccEYrRlxwRitGXHA= subject to the initial condition y(0)=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRictSSZtc3FydEdGJDYjLUYjNiQtSSNtbkdGJDYkUSIzRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnRjhGOA==QyY+SSNwNUc2Ii1JJ0RFcGxvdEdGJTYmPCMvLUklZGlmZkclKnByb3RlY3RlZEc2JC1JInlHRiU2I0kidEdGJUYyLCQqJCwmIiIiRjYqJEYvIiIjISIiRjlGOUYvL0YyOyQhIidGOSIiJjcjLy1GMDYjIiIhLUklc3FydEc2JEYtSShfc3lzbGliR0YlNiMiIiRGOUYkRjY=JSFH