null符号运算系统MAPLE的使用
(四）符号运算系统MAPLE的使用
(四）七、微分方程（组）的求解六、积分null六、积分 int.mwsInt(ln(t)/t,t);
int(ln(t)/t,t);
> Int(x*sin(x),x)=int(x*sin(x),x);
> Int(sin(x)/x,x)=int(sin(x)/x,x);
> Int(exp(t)/t,t)=int(exp(t)/t,t);不定积分nullInt(exp(-x),x=a..b);
int(exp(-x),x=a..b);
I1:=Int(exp(-x^2),x=0..1)
=int(exp(-x^2),x=0..1);
> ?erf
> evalf(I1); ## 求近似值
>Int(sin(x)/x,x=0..infinity)=int(sin(x)/x,x=0..infinity);
>Int(a*exp(b*x),x=0..d)=int(a*exp(b*x),x=0..d);定积分null求下列积分null七 微分方程求解 > ?dsolve
ode1:=t*diff(y(t),t)
=y(t)*ln(t*y(t))-y(t);
> dsolve(ode1,y(t));
ode2:=diff(y(t),t,t)
+2*diff(y(t),t)+3*y(t)=a*sin(t);
> dsolve(ode2,y(t));null微分方程的初值问
题
快递公司问题件快递公司问题件货款处理关于圆的周长面积重点题型关于解方程组的题及答案关于南海问题
求解 > ##### solve the initial value problems of ODE
> dsolve({ode1, y(1)=a},y(t));
> dsolve({ode2,y(0)=2,D(y)(0)=1}, y(t));null微分方程组求通解 > ######## solve the system of ODES
> sys1:= {diff(y(t),t) =-x(t),diff(x(t),t)=y(t)};
> dsolve(sys1, {x(t),y(t)});
sys2 := {diff(f(x),x) = cos(f(x)), diff(g(x),x) = -f(x)^(1/2),
diff(h(x),x,x) = g(x)/f(x)};
> dsolve(sys2, {f,g,h});null 微分方程组的初值问题求解 > ######### solve the system of ODES with initial value conditions
> IC_1 := {x(a)=A,y(b)=B};
> ans1 := dsolve(sys1 union IC_1,{x(t),y(t)});
> ans1 := combine(dsolve(sys1 union IC_1,{x(t),y(t)}),trig);
> IC_2 := {x(a)=A,diff(x(a),a)=B};
> ans2 := combine(dsolve(sys1 union IC_2,{x(t),y(t)}),trig);null课堂练习
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