A: 4*exp(t)
B: 2*exp(t)
C: exp(t)
D: 8*exp(t)
举一反三
- 求微分方程组[img=214x69]17da65379afb919.png[/img]的特解X= ( ) 。 A: -exp(t) B: exp(x) C: -exp(x) D: exp(t)
- 用Matlab求解常微分方程初值问题[img=191x61]1802e4db6ff00c5.png[/img],输出结果是: A: 2*exp(t)+4*t*exp(-t)+1 B: 2*exp(-t)+4*t*exp(-t)-1 C: 2*exp(-t)+4*t*exp(-t)+1 D: 2*exp(t)+4*t*exp(-t)-1
- 求微分方程[img=269x55]17da6536a9fba07.png[/img]的通解; ( ) A: (C15*sin(2*t))/exp(3*t) + (C16*sin(2*t))/exp(3*t) B: (C15*cos(2*t))/exp(3*t) - (C16*sin(2*t))/exp(3*t) C: (C15*cos(2*t))/exp(3*t) + (C16*cos(2*t))/exp(3*t) D: (C15*cos(2*t))/exp(3*t) + (C16*sin(2*t))/exp(3*t)
- 一阶常微分方程[img=152x26]1802e4d6075ee4f.png[/img]的通解为 A: sin(2*t)/5-cos(2*t)/10+C*exp(-4*t) B: sin(2*t)/7+cos(2*t)/5-C*exp(-3*t) C: sin(2*t)/7-C*cos(2*t)/10+C*exp(-2*t) D: sin(2*t)/7-cos(2*t)/7+C*exp(-5*t)
- 如下命令中不能实现如下微分方程组[img=327x203]17e443a5d83ce02.png[/img],在初值条件[img=172x112]17e443a5e2ead01.png[/img]下的特解求解的是: A: [x,y] = dsolve('Dx+5*x+y = exp(t)', 'Dy-x-3*y=0', 'x(0)=1', 'y(0)=0', 't') B: [x,y] = dsolve('Dx+5*x+y = exp(t)', 'Dy-x-3*y=0', 'x(0)=1, y(0)=0', 't') C: [x,y] = dsolve('Dx+5*x+y = exp(t)', 'Dy-x-3*y=0', 'x(0)=1', 'y(0)=0') D: [x,y] = dsolve('Dx+5*x+y = exp(t)', 'Dy-x-3*y=0', 'x(0)=1', 'y(0)=0', 'x')
内容
- 0
求由方程[img=134x41]17da65377a0f91e.png[/img]所确定的隐函数[img=91x50]17da653782b7d9a.png[/img]的导数。 ( ) A: x*exp(y/x) B: x*exp(y/x)*(1/x + y/(x^2*exp(y/x))) C: x*exp(y/x)*(1/x + y/(x^2*exp(y/x)))+x*exp(y/x) D: (1/x + y/(x^2*exp(y/x)))
- 1
求微分方程[img=101x35]17da5f15503f795.png[/img] 的通解,实验命令为(). A: dsolve(Dy+2*x*y=x*exp(-x^2))ans=C1*exp(-x^2) + (x^2*exp(-x^2))/2 B: dsolve('Dy+2*x*y=x*exp(-x^2)','x')ans=C1*exp(-x^2) + (x^2*exp(-x^2))/2 C: dsolve('Dy+2*x*y=x*exp(-x^2)')ans=C1*exp(-x^2) + (x^2*exp(-x^2))/2
- 2
求微分方程 [img=635x61]17da6537085dd29.png[/img] 的特解; ( ) A: (3*sin(5*x))/exp(2*x) B: exp(2*x) C: (3*sin(5*x)) D: (3*cos(5*x))/exp(2*x)
- 3
设f(x)=exp(x),存在t∈(0,1)使得f[0,0.4,1.0]=exp(t)
- 4
已知标准正态分布随机变量的特征函数为g(t)=exp{-t2/2},随机变量X服从正态分布N(μ,σ2),则X的特征函数gX(t)为 A: exp{itμ-σ2t2/2} B: exp{itμ+σ2t2/2} C: exp{2itμ-σ2t2/2} D: exp{2itμ+σ2t2/2}