作业帮1.e^x+ydy=dx 2.dy/dx=y*x+y 3.y'+ycosx=e^-sinx,y(0)=3
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1.e^x+ydy=dx 2.dy/dx=y*x+y 3.y'+ycosx=e^-sinx,y(0)=3
1.e^x+ydy=dx
2.dy/dx=y*x+y
3.y'+ycosx=e^-sinx,y(0)=3
1.e^x+ydy=dx
2.dy/dx=y*x+y
3.y'+ycosx=e^-sinx,y(0)=3
1.e^xdx+ydy=dx
(e^x-1)dx+ydy=0
通解e^x-x+(1/2)y^2=C
2.dy/dx=y*x+y
dy/dx=y(x+1)
dy/y=(x+1)dx
通解lny+(1/2)(x+1)^2+C
3.y'+ycosx=e^-sinx,y(0)=3
dy+ycosxdx=e^(-sinx)dx
dy+yd(sinx)=e^(-sinx)dx
e^sinxdy+ye^(sinx)d(sinx)=dx
e^sinxdy+yde^sinx=dx
dye^(sinx)=dx
通解ye^sinx=x+C
(e^x-1)dx+ydy=0
通解e^x-x+(1/2)y^2=C
2.dy/dx=y*x+y
dy/dx=y(x+1)
dy/y=(x+1)dx
通解lny+(1/2)(x+1)^2+C
3.y'+ycosx=e^-sinx,y(0)=3
dy+ycosxdx=e^(-sinx)dx
dy+yd(sinx)=e^(-sinx)dx
e^sinxdy+ye^(sinx)d(sinx)=dx
e^sinxdy+yde^sinx=dx
dye^(sinx)=dx
通解ye^sinx=x+C
1.e^x+ydy=dx 2.dy/dx=y*x+y 3.y'+ycosx=e^-sinx,y(0)=3
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