常微分方程练习题(复习题)

常微分方程练习试卷一、x3d2x10dt2xdyf(xy)_______ydxd3yy2x0y(0)1,y(0)2dx3yyyexy*(x)e2xexxexW(t)0x1(t),x2(t),L,xn(t)axbxydx(2x23y220)dy0yA(t)X(t)A(t)20x'x05y2y5yy1y2yy0二、dyxy1dxxy32xdx(dx)20dt2dtyysinx(cosxsinxxy2)dxy(1x2)dy0A311dXdXAXx(0)241AX(t)dtdtdy2x13y2(1,0)dx(dy)34xydy8y20dxdxA21xAx(t),(0)1,142(t),(t)XA(t)XC(t)(t)C(x)(x0,x)x2y()y(x)y0[]d,x0,x[,]x0{n(x)}[,](x)[,][,](x)(x)(t)dXAX(t0)(t)expA(tt0)dtuxy1du1dx3,2,1u(f(u)1)xy31eAte2t0(t)(t)e5t0dyxy1dxxy3xy10,x1,y2x1,xy30y2,d(1z)dzd12d.z1z2arctanz2ln(1z)ln||Carctany2ln(x1)2(y2)2Cx1xd2x(dx)20dt2dtyysinxyyycexyc(x)exc(x)exc(x)exc(x)exsinxc(x)exsinxc(x)1ex(sinxcosx)cycex1(sinxcosx)22(cosxsinxxy2)dxy(1x2)dy0M(x,y)cosxsinxxy2,N(x,y)y(1x2)M2xyNyxcosxsinxdx(xy2dxyx2dy)ydy0d(1sin2x)d(1x2y2)d(1y2)0sin2xx2y2y2C222A311dXAX(t)dXAXx(0)241dtdtdet(AE)31(2)(5)0,242,512,5V11,V21,(,0).12212(t)e2te5t.1(0)121e2t2e5t113(t)(t)11e2te5t2111e(0)2t2e5t1113e3e

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